CALCULUS, VOLUME 1 (OER)17th EditionOpenStax Publisher: XANEDU CISBN: 2810022307715
CALCULUS, VOLUME 1 (OER)
Solutions for CALCULUS,VOLUME 1 (OER)
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 1t2 =sin1t+C . Is it true, in general, that cos1t=sin1t?Problem 404E:
Explain the relationship sec1t+C=dt|t| t2 1=csc1t+C . Is it true, in general, that sec1t=csc1tProblem 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 1...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, use a calculator to graph the antiderivative f with C = 0 over the given...Problem 418E:
In the following exercises, use a calculator to graph the antiderivative f with C = 0 over the given...Problem 419E:
In the following exercises, use a calculator to graph the antiderivative f with C = 0 over the given...Problem 420E:
In the following exercises, use a calculator to graph the antiderivative f with C = 0 over the given...Problem 421E:
In the following exercises, use a calculator to graph the antiderivative f with C = 0 over the given...Problem 422E:
In the following exercises, use a calculator to graph the antiderivative f with C = 0 over the given...Problem 423E:
In the following exercises, compute each integral using appropriate substitutions. 423. ex 1e 2t dtProblem 424E:
In the following exercises, compute each integral using appropriate substitutions. 424. et1+e 2tdtProblem 425E:
In the following exercises, compute each integral using appropriate substitutions. 425. dtt 1 In2 tProblem 426E:
In the following exercises, compute each integral using appropriate substitutions. 426. dtt( 1+ In2...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( et...Problem 429E:
In the following exercises, compute each definite integral. 429. 01/2tan( sin 1 t) 1t2 dtProblem 430E:
In the following exercises, compute each definite integral. 430. 1/41/2tan( cos 1 t) 1t2 dtProblem 431E:
In the following exercises, compute each definite integral. 431. 01/2sin( tan 1 t)1+t2dtProblem 432E:
In the following exercises, compute each definite integral. 432. 01/2cos( tan 1 t)1+t2dtProblem 433E:
For A0 , 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 t2 1 and evaluate limBI(B) , the area under the graph of 1tt21 over [1,)...Problem 435E:
Use the substitution u=2cotx and the identity 1+cot2x=csc2x to evaluate dx1+ cos2x . (Hint: Multiply...Problem 436E:
[T] 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 - Functions And GraphsChapter 1.1 - Review Of FunctionsChapter 1.2 - Basic Classes Of FunctionsChapter 1.3 - Trigonometric FunctionsChapter 1.4 - Inverse FunctionsChapter 1.5 - Exponential And Logarithmic FunctionsChapter 2 - LimitsChapter 2.1 - A Preview Of CalculusChapter 2.2 - The Limit Of A FunctionChapter 2.3 - The Limit Laws
Chapter 2.4 - ContinuityChapter 2.5 - The Precise Definition Of A LimitChapter 3 - DerivativesChapter 3.1 - Defining The DerivativeChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Differentiation RulesChapter 3.4 - Derivatives As Rates Of ChangeChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - The Chain RuleChapter 3.7 - Derivatives Of Inverse FunctionsChapter 3.8 - Implicit DifferentiationChapter 3.9 - Derivatives Of Exponential And Logarithmic FunctionsChapter 4 - Applications Of DerivativesChapter 4.1 - Related RatesChapter 4.2 - Linear Approximations And DifferentialsChapter 4.3 - Maxima And MinimaChapter 4.4 - The Mean Value TheoremChapter 4.5 - Derivatives And The Shape Of A GraphChapter 4.6 - Limits At Infinity And AsymptotesChapter 4.7 - Applied Optimization ProblemsChapter 4.8 - L'hopitars RuleChapter 4.9 - Newton's MethodChapter 4.10 - AntiderivativesChapter 5 - IntegrationChapter 5.1 - Approximating AreasChapter 5.2 - The Definite IntegralChapter 5.3 - The Fundamental Theorem Of CalculusChapter 5.4 - Integration Formulas And The Net Change TheoremChapter 5.5 - SubstitutionChapter 5.6 - Integrals Involving Exponential And Logarithmic FunctionsChapter 5.7 - Integrals Resulting In Inverse Trigonometric FunctionsChapter 6 - Applications Of IntegrationChapter 6.1 - Areas Between CurvesChapter 6.2 - Determining Volumes By SlicingChapter 6.3 - Volumes Of Revolution: Cylindrical ShellsChapter 6.4 - Arc Length Of A Curve And Surface AreaChapter 6.5 - Physical ApplicationsChapter 6.6 - Moments And Centers Of MassChapter 6.7 - Integrals, Exponential Functions, And LogarithmsChapter 6.8 - Exponential Growth And DecayChapter 6.9 - Calculus Of The Hyperbolic Functions
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