Calculus Volume 217th EditionGilbert Strang, Edwin Jed Herman Publisher: OpenStaxISBN: 9781938168062
Calculus Volume 2
Solutions for Calculus Volume 2
Problem 391E:
In the following exercises, evaluate each integral in terms of an inverse trigonometric function....Problem 392E:
In the following exercises, evaluate each integral in terms of an inverse trigonometric function....Problem 393E:
In the following exercises, evaluate each integral in terms of an inverse trigonometric function....Problem 394E:
In the following exercises, evaluate each integral in terms of an inverse trigonometric function....Problem 395E:
In the following exercises, evaluate each integral in terms of an inverse trigonometric function....Problem 396E:
In the following exercises, evaluate each integral in terms of an inverse trigonometric function....Problem 397E:
In the following Exercises, find each indefinite integral, using appropriate substitutions. 397. dx...Problem 398E:
In the following Exercises, find each indefinite integral, using appropriate substitutions. 398. dx...Problem 399E:
In the following Exercises, find each indefinite integral, using appropriate substitutions. 399....Problem 400E:
In the following Exercises, find each indefinite integral, using appropriate substitutions. 400....Problem 401E:
In the following Exercises, find each indefinite integral, using appropriate substitutions. 401....Problem 402E:
In the following Exercises, find each indefinite integral, using appropriate substitutions. 402....Problem 403E:
Explain the relationship cos1t+C=dt 1 t 2 =sin1t+C . Is it true, in general, that cos1t=sin1t ?Problem 404E:
Explain the relationship sec1+C=dt|t| t 2 1=csc1t+C . Is it true, in general, that sec1t=csc1t ?Problem 407E:
In the following exercises, solve for the antiderivative f of f with C = 0, then use a calculator to...Problem 408E:
In the following exercises, solve for the antiderivative f of f with C = 0, then use a calculator to...Problem 409E:
In the following exercises, solve for the antiderivative f of f with C = 0, then use a calculator to...Problem 410E:
In the following exercises, solve for the antiderivative f of f with C = 0, then use a calculator to...Problem 411E:
In the following Exercises, compute the antiderivative using appropriate substitutions. 411. sin...Problem 412E:
In the following Exercises, compute the antiderivative using appropriate substitutions. 412. dt sin...Problem 413E:
In the following Exercises, compute the antiderivative using appropriate substitutions. 413. tan 1(...Problem 414E:
In the following Exercises, compute the antiderivative using appropriate substitutions. 414. t tan...Problem 415E:
In the following Exercises, compute the antiderivative using appropriate substitutions. 415. sec 1(...Problem 416E:
In the following Exercises, compute the antiderivative using appropriate substitutions. 416. t sec...Problem 417E:
In the following exercises, solve for the antiderivative f of with C = 0, the given interval [a, b]....Problem 418E:
In the following exercises, solve for the antiderivative f of with C = 0, the given interval [a, b]....Problem 419E:
In the following exercises, solve for the antiderivative f of with C = 0, the given interval [a, b]....Problem 420E:
In the following exercises, solve for the antiderivative f of with C = 0, the given interval [a, b]....Problem 421E:
In the following exercises, solve for the antiderivative f of with C = 0, the given interval [a, b]....Problem 422E:
In the following exercises, solve for the antiderivative f of with C = 0, the given interval [a, b]....Problem 423E:
In the following exercises, compute each integral using appropriate substitutions. 423. ex 1 e 2t dtProblem 424E:
In the following exercises, compute each integral using appropriate substitutions. 424. et 1+ e 2t...Problem 425E:
In the following exercises, compute each integral using appropriate substitutions. 425. dtt 1 In 2 tProblem 426E:
In the following exercises, compute each integral using appropriate substitutions. 426. dtt( 1+ In 2...Problem 427E:
In the following exercises, compute each integral using appropriate substitutions. 427. cos 1( 2t)...Problem 428E:
In the following exercises, compute each integral using appropriate substitutions. 428. et cos 1( e...Problem 429E:
In the following Exercises, compute each definite integral. 429. 01/2tan( sin 1 t) 1 t 2 dtProblem 430E:
In the following Exercises, compute each definite integral. 430. 1/41/2tan( cos 1 t) 1 t 2 dtProblem 431E:
In the following Exercises, compute each definite integral. 431. 01/2sin( tan 1 t)1t2dtProblem 432E:
In the following Exercises, compute each definite integral. 432. 01/2cos( tan 1 t)1t2dtProblem 433E:
For A > 0, compute I(A)=AAdt1+t2 and evaluate limaI(A) , the area under the graph of 11+t2 on [,] .Problem 434E:
For 1B , compute I(B)=1Bdtt t 2 1 and evaluate limBI(B) , the area under the graph of 1tt21 on [1,)...Problem 435E:
Use the substitution u=2cotx and the identity 1+cot2x=csc2x to evaluate dx1+ cos2x . (Hint: Multiply...Problem 436E:
Approximate the points at which the graphs of f(x)=2x21 and g(x)=(1+4x2)3/2 intersect, and...Browse All Chapters of This Textbook
Chapter 1 - IntegrationChapter 1.1 - Approximating AreasChapter 1.2 - The Definite IntegralChapter 1.3 - The Fundamental Theorem Of CalculusChapter 1.4 - Integration Formulas And The Net Change TheoremChapter 1.5 - SubstitutionChapter 1.6 - Integrals Involving Exponential And Logarithmic FunctionsChapter 1.7 - Integrals Resulting In Inverse Trigonometric FunctionsChapter 2 - Applications Of IntegrationChapter 2.1 - Areas Between Curves
Chapter 2.2 - Determining Volumes By SlicingChapter 2.3 - Volumes Of Revolution: Cylindrical ShellsChapter 2.4 - Am Length Of A Curve And Surface AreaChapter 2.5 - Physical ApplicationsChapter 2.6 - Moments And Centers Of MassChapter 2.7 - Integrals, Exponential Functions, And LogarithmsChapter 2.8 - Exponential Growth And DecayChapter 2.9 - Calculus Of The Hyperbolic FunctionsChapter 3 - Techniques Of IntegrationChapter 3.1 - Integration By PartsChapter 3.2 - Trigonometric IntegralsChapter 3.3 - Trigonometric SubstitutionChapter 3.4 - Partial FractionsChapter 3.5 - Other Strategies For IntegrationChapter 3.6 - Numerical IntegrationChapter 3.7 - Improper IntegralsChapter 4 - Introduction To Differential EquationsChapter 4.1 - Basics Of Differential EquationsChapter 4.2 - Direction Fields And Numerical MethodsChapter 4.3 - Separable EquationsChapter 4.4 - The Logistic EquationChapter 4.5 - First-order Linear EquationsChapter 5 - Sequences And SeriesChapter 5.1 - SequencesChapter 5.2 - Infinite SeriesChapter 5.3 - The Divergence And Integral TestsChapter 5.4 - Comparison TestsChapter 5.5 - Alternating SeriesChapter 5.6 - Ratio And Root TestsChapter 6 - Power SeriesChapter 6.1 - Power Series And FunctionsChapter 6.2 - Properties Of Power SeriesChapter 6.3 - Taylor And Maclaurin SeriesChapter 6.4 - Working With Taylor SeriesChapter 7 - Parametric Equations And Polar CoordinatesChapter 7.1 - Parametric EquationsChapter 7.2 - Calculus Of Parametric CurvesChapter 7.3 - Polar CoordinatesChapter 7.4 - Area And Arc Length In Polar CoordinatesChapter 7.5 - Conic Sections
Book Details
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
Sample Solutions for this Textbook
We offer sample solutions for Calculus Volume 2 homework problems. See examples below:
More Editions of This Book
Corresponding editions of this textbook are also available below:
Calculus Volume 2 by OpenStax
17th Edition
ISBN: 9781506698076
Calculus Volume 2
2nd Edition
ISBN: 9781630182021
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