# Evaluate the integral 2\int \sin 5x \cos 2x \,dx

## Question:

Evaluate the integral {eq}2\int \sin 5x \cos 2x \,dx {/eq}

## Integration of Trigonometric Functions:

During our course in calculus, we will always encounter the integration of trigonometric functions. Some may be quite difficult to integrate, some are easy. However, we must always remember that we can always use the properties and identities of these trigonometric functions in order to simplify the method of integration.

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For this problem, we must use the trigonometric identities involving the product of sine and cosine functions with different arguments, {eq}\sin...

How to Calculate Integrals of Trigonometric Functions

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Chapter 13 / Lesson 3
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There are two primary integrals of trigonometric functions that can be calculated: the sine and the cosine. Work through examples to understand how these integrals and their derivatives are calculated.