Evaluate the integral.
{eq}\int_{\pi/4}^{3 \pi/4} \cos x \cdot e^{\sin x} \, \mathrm{d}x {/eq}
Question:
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
Become a Study.com member to unlock this answer! Create your account
View this answer
Given:
- 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...
See full answer below.
Learn more about this topic:
Get access to this video and our entire Q&A library
Integration Problems in Calculus: Solutions & Examples
from
Chapter 13 / Lesson 13Learn what integration problems are. Discover how to find integration sums and how to solve integral calculus problems using calculus example problems.
Explore our homework questions and answers library
Browse
by subject