Evaluate the integral.

{eq}\int_{\pi/4}^{3 \pi/4} \cos x \cdot e^{\sin x} \, \mathrm{d}x {/eq}


Evaluate the integral.

{eq}\int_{\pi/4}^{3 \pi/4} \cos x \cdot e^{\sin x} \, \mathrm{d}x {/eq}

Integration using the Substitution Method:

Integrating the function involving the trigonometric terms is easy to evaluate using the trigonometric substitution, substituting the trigonometric function present in the integral, and then integrating the term.

Answer and Explanation: 1

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  • The definite integral is {eq}\int\limits_{\frac{\pi }{4}}^{\frac{{3\pi }}{4}} {\cos x \cdot {e^{\sin x}}dx} {/eq}.

The objective is to...

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Integration Problems in Calculus: Solutions & Examples


Chapter 13 / Lesson 13

Learn what integration problems are. Discover how to find integration sums and how to solve integral calculus problems using calculus example problems.

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