Calculus Volume 22nd EditionGilbert Strang, Edwin Jed Herman Publisher: OpenStax College.ISBN: 9781630182021
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
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
17th Edition
ISBN: 9781938168062
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