# Worldwide Integral Calculus 1st edition

David B. Massey
Publisher: Worldwide Center of Mathematics

## eBook

Access is contingent on use of this textbook in the instructor's classroom.

• Chapter 1: Anti-differentiation: the Indefinite Integral
• 1.1: Basic Anti-Differentiation (115)
• 1.2: Special Trig. Integrals and Trig Substitutions (37)
• 1.3: Integration by Partial Fractions (36)
• 1.4: Integration using Hyperbolic Sine and Cosine (5)

• Chapter 2: Continuous Sums: the Definite Integral
• 2.1: Sums and Differences (1)
• 2.2: Prelude to the Definite Integral (11)
• 2.3: The Definite Integral (86)
• 2.4: The Fundamental Theorem of Calculus (247)
• 2.5: Improper Integrals (36)
• 2.6: Numerical Techniques (21)

• Chapter 3: Applications of Integration
• 3.1: Displacement and Distance Traveled (14)
• 3.2: Area in the Plane (35)
• 3.3: Distance Traveled in Space and Arc Length (30)
• 3.4: Area Swept Out and Polar Coordinates (44)
• 3.5: Volume (62)
• 3.6: Surface Area (32)
• 3.7: Mass and Density
• 3.8: Centers of Mass and Moments (23)
• 3.9: Work and Energy (20)
• 3.10: Hydrostatic Pressure (11)

• Chapter 4: Polynomials and Power Series
• 4.1: Approximating Polynomials (3)
• 4.2: Approximation of Functions (12)
• 4.3: Error in Approximation
• 4.4: Functions as Power Series
• 4.5: Power Series as Functions I (22)
• 4.6: Power Series as Functions II (74)
• 4.7: Power Series Solutions

• Chapter 5: Theorems on Sequences and Series
• 5.1: Theorems on Sequences (43)
• 5.2: Basic Theorems on Series (32)
• 5.3: Non-negative Series (54)
• 5.4: Series with Positive and Negative Terms (51)

• Chapter A: Appendix A
• A.A: An Introduction to Vectors and Motion

Intended for use in a Calculus II class, Worldwide Integral Calculus covers integration as well as sequences and infinite series. The second book in the Worldwide Calculus series, this book takes a unique approach in its combination of down-to-earth, conversational text mixed with completely rigorous definitions, statements of theorems, and proofs. Dr. David Massey, the author, is an award-winning and world-renowned research mathematician, who has been teaching college students for over 30 years. Available for low cost in PDF format, the digital version of the book contains a host of new features right in the text, including:

• Full-length video lectures at the beginning of each section
• Step-by-step video solutions to select problems at the end of each section
• Applicable sections of the text linked to individual questions
• Animated and interactive graphs

Available either as an eBook or in print from the Worldwide Center of Mathematics, Worldwide Integral Calculus provides an affordable and accessible experience for students, and is now supported by WebAssign, the leading independent provider of online homework and assessment.

The WebAssign questions for this textbook are from an independent collection of questions developed by a team of experienced mathematics instructors. These class-tested and peer-reviewed questions, covering the main topics in calculus, have been correlated as closely as possible to the appropriate chapters in this textbook.

## Question Features:

• Detailed worked-out solutions for every question
• Socratic feedback on questions available when the student incorrectly answers the question
• Interactive, multi-part tutorials for every concept
• Tutorials, solutions, and feedback are available to students at your discretion and can all be easily adjusted by the assignment settings

##### Question Group Key
Tut - Tutorial Question

##### Question Availability Color Key
BLACK questions are available now
GRAY questions are under development

Group Quantity Questions
Chapter B
B.1 23 501I.XP 501a.XP.Tut 501b.XP.Tut 501c.XP 501d.XP 501e.XP 501f.XP 501g.XP.Tut 501h.XP 501j.XP 501k.XP 502a.XP 502b.XP 502c.XP 503a.XP 503b.XP 503c.XP 503d.XP 503e.XP 503f.XP 503g.XP 504a.XP 504b.XP
Chapter 1: Anti-differentiation: the Indefinite Integral
1.1 109 501a.XP 501b.XP.Tut 502a.XP.Tut 503a.XP 503b.XP 503c.XP.Tut 503d.XP 503e.XP 503f.XP 504a.XP.Tut 504b.XP.Tut 505a.XP.Tut 505b.XP 506a.XP.Tut 507a.XP 507b.XP 507c.XP 508a.XP 508b.XP 509a.XP 509b.XP 509c.XP 510a.XP 510b.XP 510c.XP 510d.XP 511a.XP 511b.XP 511c.XP 511d.XP 512a.XP 512b.XP 512c.XP 512d.XP.Tut 512e.XP.Tut 512f.XP 512g.XP 512h.XP 513a.XP 513b.XP 513c.XP 513d.XP 514a.XP 514b.XP 514c.XP 514d.XP 514e.XP 514f.XP.Tut 514g.XP 514h.XP 515a.XP 515b.XP 515c.XP 515d.XP 516a.XP 516b.XP 516c.XP 517a.XP 517b.XP 517c.XP 518a.XP 518b.XP 518c.XP 518d.XP 519a.XP 519b.XP 519c.XP 520a.XP 520b.XP 520c.XP 522a.XP 522b.XP 522c.XP 522d.XP 523a.XP.Tut 523b.XP 523c.XP 523d.XP 523e.XP 523f.XP.Tut 523g.XP 524a.XP 524b.XP 524c.XP 524d.XP 524e.XP 524f.XP 525a.XP.Tut 525b.XP 525c.XP 525d.XP 526a.XP 526b.XP 527a.XP 527b.XP 528I.XP 528a.XP 528b.XP 528c.XP 528d.XP 528e.XP 528f.XP 528g.XP 528h.XP 528j.XP 528k.XP 528l.XP 528m.XP 528n.XP
1.2 36 501a.XP 502a.XP.Tut 503a.XP 503b.XP 504a.XP 505a.XP 506a.XP.Tut 506b.XP 507a.XP 508a.XP 509a.XP 510a.XP 511a.XP 512a.XP 512b.XP 512c.XP 512d.XP 512e.XP 512f.XP 513a.XP.Tut 513b.XP 513c.XP 513d.XP 513e.XP 513f.XP 514a.XP.Tut 514b.XP.Tut 514c.XP 515a.XP 515b.XP.Tut 515c.XP.Tut 515d.XP 516a.XP.Tut 516b.XP.Tut 516c.XP.Tut 516d.XP
1.3 33 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP 501g.XP 502a.XP.Tut 502b.XP.Tut 502c.XP 502d.XP 502e.XP 502f.XP 502g.XP 502h.XP 503a.XP.Tut 503b.XP 503c.XP.Tut 503d.XP 504a.XP 504b.XP 504c.XP 505I.XP.Tut 505a.XP 505b.XP 505c.XP 505d.XP 505e.XP.Tut 505f.XP 505g.XP 505h.XP 505j.XP 506a.XP.Tut
1.4 5 501a.XP 501b.XP 502a.XP 502b.XP 502c.XP
Chapter 2: Continuous Sums: the Definite Integral
2.1 1 501a.XP.Tut
2.2 11 501a.XP 501b.XP 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP 503a.XP 503b.XP 503c.XP 503d.XP
2.3 86 501a.XP 501b.XP 501c.XP 502a.XP 502b.XP 503I.XP 503a.XP.Tut 503b.XP 503c.XP 503d.XP.Tut 503e.XP.Tut 503f.XP.Tut 503g.XP 503h.XP 504a.XP 504b.XP 505a.XP 506a.XP 506b.XP 506c.XP 507a.XP 507b.XP 508a.XP 508b.XP 508c.XP 509a.XP 509b.XP 509c.XP 509d.XP 509e.XP.Tut 509f.XP 510a.XP 511a.XP 511b.XP 511c.XP 512a.XP 512b.XP 512c.XP 512d.XP 513a.XP 513b.XP 513c.XP 513d.XP 513e.XP.Tut 514a.XP 514b.XP 515I.XP.Tut 515a.XP.Tut 515b.XP.Tut 515c.XP 515d.XP 515e.XP 515f.XP 515g.XP 515h.XP 516a.XP 516b.XP 516c.XP 516d.XP.Tut 516e.XP 516f.XP 517a.XP 517b.XP 517c.XP 517d.XP 517e.XP 518a.XP 518b.XP 519a.XP 519b.XP 520a.XP 520b.XP 521a.XP 521b.XP 522a.XP 522b.XP 522c.XP.Tut 522d.XP 523a.XP 523b.XP 523c.XP 523d.XP 523e.XP 523f.XP 523g.XP 523h.XP 523i.XP
2.4 246 501a.XP.Tut 501b.XP 501c.XP 501d.XP 502a.XP 502b.XP 503a.XP 503b.XP 503c.XP 504a.XP 504b.XP 504c.XP 505a.XP 506I.XP 506a.XP.Tut 506b.XP 506c.XP 506d.XP 506e.XP 506f.XP 506g.XP 506h.XP 506j.XP 507a.XP.Tut 507b.XP 507c.XP 508a.XP 508b.XP 508c.XP 509a.XP 509b.XP 509c.XP 509d.XP 510a.XP 510b.XP 510c.XP 511a.XP 511b.XP 511c.XP.Tut 511d.XP.Tut 511e.XP 512I.XP 512a.XP.Tut 512b.XP.Tut 512c.XP.Tut 512d.XP 512e.XP 512f.XP 512g.XP.Tut 512h.XP 512j.XP.Tut 512k.XP 512l.XP 512m.XP 512n.XP.Tut 512o.XP.Tut 513a.XP 513b.XP 513c.XP.Tut 513d.XP 513e.XP 513f.XP 514a.XP 514b.XP 514c.XP 515a.XP 515b.XP 515c.XP 515d.XP 515e.XP 516a.XP 517a.XP 517b.XP 517c.XP 518a.XP 518b.XP 518c.XP 519a.XP 519b.XP 519c.XP 520a.XP 520b.XP 520c.XP 521a.XP 521b.XP 521c.XP 522a.XP 522b.XP 522c.XP 523a.XP 523b.XP 523c.XP 524a.XP 524b.XP 524c.XP 525a.XP 525b.XP 525c.XP 526a.XP 526b.XP 526c.XP 526d.XP 527a.XP 527b.XP 527c.XP 527d.XP 527e.XP 528a.XP 528b.XP 528c.XP 528d.XP 528e.XP 529a.XP 529b.XP 529c.XP 529d.XP 529e.XP.Tut 530a.XP 530b.XP 530c.XP 530d.XP 530e.XP 530f.XP 531I.XP 531a.XP 531b.XP 531c.XP 531d.XP 531e.XP 531f.XP 531g.XP 531h.XP 532I.XP.Tut 532a.XP 532b.XP 532c.XP 532d.XP 532e.XP.Tut 532f.XP 532g.XP 532h.XP.Tut 532j.XP 532k.XP 533a.XP 533b.XP 533c.XP 533d.XP 533e.XP 533f.XP 533g.XP 534a.XP 534b.XP 534c.XP 534d.XP 534e.XP 534f.XP 534g.XP 535a.XP 535b.XP 535c.XP 535d.XP.Tut 535e.XP.Tut 535f.XP 535g.XP 535h.XP 536I.XP 536a.XP 536b.XP 536c.XP 536d.XP 536e.XP 536f.XP 536g.XP 536h.XP 537a.XP 537b.XP 537c.XP 538a.XP 538b.XP 538c.XP 540a.XP 540b.XP 540c.XP 540d.XP 541a.XP 541b.XP 542a.XP 543a.XP.Tut 543b.XP 543c.XP.Tut 544a.XP.Tut 544b.XP 545a.XP 545b.XP 545c.XP 546a.XP 547a.XP.Tut 548a.XP 549a.XP 550a.XP.Tut 550b.XP 551a.XP 552a.XP 553a.XP 554a.XP 555a.XP 556a.XP 556b.XP 556c.XP 556d.XP 556e.XP.Tut 557a.XP 557b.XP 558a.XP 559a.XP.Tut 559b.XP 560a.XP 560b.XP 560c.XP 561a.XP 561b.XP 561c.XP 561d.XP 562a.XP 562b.XP 562c.XP 564I.XP 564a.XP.Tut 564b.XP 564c.XP.Tut 564d.XP 564e.XP 564f.XP 564g.XP 564h.XP 564j.XP 565a.XP 565b.XP 565c.XP.Tut 565d.XP 565e.XP 566a.XP 566b.XP 566c.XP 566d.XP.Tut 567a.XP
2.5 36 501a.XP.Tut 501b.XP 501c.XP 501d.XP 501e.XP.Tut 501f.XP 501g.XP 501h.XP 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP 502f.XP 503a.XP 503b.XP 503c.XP 503d.XP.Tut 504a.XP 504b.XP 504c.XP 504d.XP 504e.XP 504f.XP.Tut 505a.XP 505b.XP 505c.XP 505d.XP 505e.XP 505f.XP 506a.XP.Tut 506b.XP 507a.XP 507b.XP 508a.XP 508b.XP
2.6 21 501a.XP 501b.XP 502a.XP 502b.XP.Tut 503a.XP 503b.XP 503c.XP 504a.XP.Tut 504b.XP 505a.XP.Tut 505b.XP.Tut 506a.XP.Tut 506b.XP 506c.XP 506d.XP 506e.XP 507a.XP 507b.XP 507c.XP 508a.XP 508b.XP
Chapter 3: Applications of Integration
3.1 14 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP 501g.XP 502a.XP.Tut 502b.XP 502c.XP 502d.XP 503a.XP 504a.XP 505a.XP
3.2 35 501I.XP 501a.XP.Tut 501b.XP.Tut 501c.XP 501d.XP 501e.XP 501f.XP 501g.XP.Tut 501h.XP 501j.XP 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP 502f.XP.Tut 502g.XP 503a.XP 503b.XP 503c.XP 503d.XP 503e.XP 503f.XP 503g.XP 503h.XP 504a.XP 504b.XP 504c.XP 504d.XP 505a.XP 505b.XP 505c.XP.Tut 506a.XP 506b.XP 506c.XP 506d.XP
3.3 27 501I.XP 501a.XP.Tut 501b.XP 501c.XP 501d.XP.Tut 501e.XP 501f.XP 501g.XP 501h.XP 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP 502f.XP.Tut 503a.XP.Tut 503b.XP 503c.XP 503d.XP 503e.XP 504a.XP.Tut 504b.XP 504c.XP 504d.XP 504e.XP.Tut 504f.XP 504g.XP
3.4 44 501a.XP 501b.XP 501c.XP 501d.XP 502I.XP 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP 502f.XP 502g.XP 502h.XP 503I.XP.Tut 503a.XP.Tut 503b.XP.Tut 503c.XP 503d.XP 503e.XP.Tut 503f.XP 503g.XP 503h.XP 504a.XP 504b.XP.Tut 504c.XP 504d.XP 504e.XP 504f.XP 504g.XP 505a.XP 505b.XP 505c.XP 505d.XP 505e.XP 506I.XP 506a.XP.Tut 506b.XP.Tut 506c.XP 506d.XP 506e.XP.Tut 506f.XP 506g.XP 506h.XP.Tut 506j.XP
3.5 62 501a.XP.Tut 501b.XP 502a.XP 502b.XP 502c.XP 503a.XP.Tut 503b.XP 503c.XP 503d.XP.Tut 503e.XP 503f.XP 504a.XP 504b.XP 504c.XP 504d.XP 504e.XP.Tut 504f.XP 504g.XP 505a.XP 506a.XP 507a.XP 508a.XP 509a.XP.Tut 509b.XP 510a.XP 510b.XP 510c.XP 510d.XP 511a.XP 511b.XP 511c.XP 511d.XP 512a.XP 512b.XP.Tut 512c.XP.Tut 513a.XP.Tut 513b.XP 513c.XP.Tut 513d.XP 513e.XP 513f.XP 513g.XP 514a.XP 514b.XP 514c.XP 514d.XP 514e.XP 514f.XP.Tut 514g.XP 515a.XP.Tut 515b.XP.Tut 515c.XP 516a.XP 516b.XP 516c.XP 517a.XP 517b.XP 518a.XP 518b.XP 518c.XP.Tut 518d.XP 518e.XP
3.6 28 501I.XP 501a.XP.Tut 501b.XP 501c.XP.Tut 501d.XP.Tut 501e.XP 501f.XP 501g.XP 501h.XP 502a.XP 502b.XP 502c.XP 502d.XP 502e.XP 502f.XP 502g.XP 503a.XP.Tut 503b.XP 503c.XP.Tut 503d.XP 503e.XP 503f.XP 504a.XP.Tut 504b.XP 504c.XP 504d.XP 504e.XP.Tut 504f.XP
3.8 21 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP.Tut 502I.XP 502a.XP.Tut 502b.XP.Tut 502c.XP.Tut 502d.XP.Tut 502e.XP 502f.XP.Tut 502g.XP 502h.XP 502j.XP 502k.XP 502l.XP 502m.XP 502n.XP 502o.XP
3.9 20 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP.Tut 501f.XP 501g.XP 502a.XP.Tut 502b.XP.Tut 502c.XP 502d.XP 502e.XP 502f.XP 502g.XP 503a.XP.Tut 503b.XP 503c.XP.Tut 503d.XP.Tut 503e.XP 504a.XP
3.10 11 501I.XP.Tut 501a.XP.Tut 501a.XP.Tut.SA 501b.XP 501c.XP.Tut 501c.XP.Tut.SA 501d.XP 501e.XP 501f.XP 501g.XP 501h.XP.Tut
Chapter 4: Polynomials and Power Series
4.1 3 501a.XP 501b.XP 501c.XP
4.2 12 501I.XP 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP 501g.XP 501h.XP 501j.XP 501k.XP 502I.XP.Tut 502a.XP 502b.XP.Tut 502c.XP 502d.XP 502e.XP.Tut 502f.XP.Tut 502g.XP 502h.XP 502j.XP 502k.XP
4.4 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP
4.5 22 501I.XP 501a.XP.Tut 501b.XP 501c.XP.Tut 501d.XP.Tut 501e.XP 501f.XP 501g.XP 501h.XP.Tut 501j.XP 501k.XP 501l.XP 501m.XP 501n.XP 501o.XP 501p.XP 501q.XP 501r.XP 502a.XP 502b.XP 502c.XP 502d.XP
4.6 74 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP.Tut 501g.XP 501h.XP 502a.XP 502b.XP 503a.XP 503b.XP 503c.XP 503d.XP 503e.XP.Tut 504a.XP 504b.XP 504c.XP 504d.XP 504e.XP 504f.XP 505I.XP 505a.XP.Tut 505b.XP.Tut 505c.XP.Tut 505d.XP 505e.XP 505f.XP 505g.XP 505h.XP 505j.XP 505k.XP 505l.XP 505m.XP 505n.XP 505o.XP 505p.XP 505q.XP 505r.XP 505s.XP 505t.XP.Tut 505u.XP 505v.XP 505w.XP.Tut 505x.XP 505y.XP 505z.XP 505za.XP 505zb.XP 505zc.XP 505zd.XP 505ze.XP 506a.XP 506b.XP 506c.XP 506d.XP 506e.XP.Tut 506f.XP 506g.XP 507a.XP 507b.XP 507c.XP 507d.XP 507e.XP 507f.XP 507g.XP 507h.XP 508I.XP 508a.XP.Tut 508b.XP 508c.XP.Tut 508d.XP 508e.XP.Tut 508f.XP.Tut 508g.XP 508h.XP 508j.XP 509a.XP 509b.XP 509c.XP 509d.XP 509e.XP
Chapter 5: Theorems on Sequences and Series
5.1 43 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP 501g.XP 502I.XP 502a.XP.Tut 502b.XP.Tut 502c.XP 502d.XP.Tut 502e.XP.Tut 502f.XP 502g.XP 502h.XP 502j.XP 502k.XP 502l.XP 502m.XP 502n.XP 502o.XP 502p.XP 502q.XP 502r.XP 502s.XP.Tut 502t.XP 502u.XP 502v.XP 502w.XP 502x.XP 503a.XP 503b.XP 503c.XP 503d.XP 503e.XP.Tut 503f.XP 503g.XP 504a.XP 504b.XP 504c.XP 505a.XP.Tut 505b.XP
5.2 32 501a.XP 501b.XP 501c.XP 501d.XP.Tut 501e.XP 501f.XP 502a.XP.Tut 502b.XP.Tut 502c.XP.Tut 502d.XP 502e.XP 502f.XP 502g.XP 503I.XP 503a.XP 503b.XP 503c.XP 503d.XP 503e.XP 503f.XP 503g.XP 503h.XP 504a.XP 504b.XP 504c.XP 504d.XP.Tut 504e.XP 505a.XP 505b.XP 505c.XP 505d.XP 505e.XP
5.3 54 501I.XP 501a.XP.Tut 501b.XP 501c.XP.Tut 501d.XP 501e.XP 501f.XP 501g.XP 501h.XP 501j.XP 501k.XP.Tut 501l.XP 502a.XP 502b.XP.Tut 503a.XP 503b.XP 503c.XP 504I.XP 504a.XP 504b.XP 504c.XP 504d.XP 504e.XP 504f.XP 504g.XP.Tut 504h.XP 504j.XP 504k.XP 504l.XP 505I.XP 505a.XP 505b.XP 505c.XP 505d.XP 505e.XP 505f.XP 505g.XP.Tut 505h.XP 505j.XP 505k.XP 505l.XP.Tut 505m.XP 505n.XP.Tut 506I.XP 506a.XP.Tut 506b.XP 506c.XP 506d.XP 506e.XP 506f.XP 506g.XP 506h.XP.Tut 506j.XP.Tut 507I.XP.Tut 507a.XP 507b.XP 507c.XP 507d.XP.Tut 507e.XP 507f.XP 507g.XP 507h.XP 507j.XP
5.4 51 501I.XP.Tut 501a.XP 501b.XP 501c.XP 501d.XP 501e.XP 501f.XP 501g.XP 501h.XP.Tut 501j.XP 501k.XP 501l.XP 502a.XP.Tut 502b.XP 502c.XP 502d.XP 503I.XP 503a.XP.Tut 503b.XP 503c.XP 503d.XP 503e.XP.Tut 503f.XP 503g.XP.Tut 503h.XP 503j.XP.Tut 504I.XP 504a.XP 504b.XP 504c.XP 504d.XP 504e.XP 504f.XP 504g.XP.Tut 504h.XP 504j.XP 504k.XP.Tut 504l.XP 504m.XP 504n.XP 504o.XP 504p.XP 504q.XP 504r.XP.Tut 505I.XP 505a.XP 505b.XP 505c.XP 505d.XP 505e.XP 505f.XP 505g.XP 505h.XP 505j.XP 505k.XP 505l.XP 505m.XP 505n.XP 505o.XP
Total 1160 (43)