{eq}\int \sin \theta \sin 3 \theta d \theta{/eq}



{eq}\int \sin \theta \sin 3 \theta d \theta{/eq}

Integration of Trigonometric Functions:

The indefinite integral can be expressed without boundaries and contains an arbitrary constant {eq}C {/eq}. The method of u-substitution is also known as the reverse-chain rule. This method entails the substitution of the integrand, such that the entire argument of the integral is transformed. The integration process proceeds with the transformed variable but the final answer is expressed in terms of the original variables. A function in terms of trigonometric can be evaluated using trigonometric identities.

Answer and Explanation: 1

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In order to integrate the given function, recall the identity {eq}\sin(m) \sin(n)= \frac{-\cos(m+n)+\cos(m-n)}{2} {/eq}, then we have


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How to Calculate Integrals of Trigonometric Functions


Chapter 13 / Lesson 3

Learn to define the integral of trigonometric functions. Discover the integrals of sine and cosine functions. Find out how to calculate trig functions. See examples.

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