10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Comparing Methods Find the indefinite integral

∫ sec x cos x d x

using the given method. Explain how your answers differ for each method.

(a) Substitution when u = sin x

(b) Substitution where u = cos x

(c) Integration by parts

(d) Using the identity sin 2 x = 2 sin x cos x

To determine

To calculate:

The following indefinite integralusing substituting method, ∫sinxcosxdx

The given expression is ∫sinxcosxdx,

Substitute u=sinx

Formula used:

Calculation:

Consider following indefinite integral,

As given we have to evaluate ∫sinxcosxdx using substitution method.

u=sinxdu=cosxdx∫sinxcosxdx=

To determine

To calculate:

The following indefinite integral ∫sinxcosxdx

To determine

To calculate:

The following indefinite integral ∫sinxcosxdx

To determine

To calculate:

The following indefinite integral ∫sinxcosxdx

Check out a sample textbook solution.

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Solutions

Calculus

Comparing Methods Find the indefinite integral ∫ sec x cos x d x using the given method. Explain how your answers differ for each method. (a) Substitution when u = sin x (b) Substitution where u = cos x (c) Integration by parts (d) Using the identity sin 2 x = 2 sin x cos x

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Chapter 8 Solutions

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Math
Calculus Calculus 10th Edition

Comparing Methods Find the indefinite integral

∫ sec x cos x d x

using the given method. Explain how your answers differ for each method.

(a) Substitution when u = sin x

(b) Substitution where u = cos x

(c) Integration by parts

(d) Using the identity sin 2 x = 2 sin x cos x