# {eq}\displaystyle \int \frac {1}{(sin2x)^2}dx {/eq}

## Question:

{eq}\displaystyle \int \frac {1}{(sin2x)^2}dx {/eq}

## The Importance of Substitution Method:

Substitution method makes several indefinite and definite integral a lot simpler because it shortens the expressions that has to be calculated for integration. We just make some change of variables and calculate the derivative of the change of variables.

## Answer and Explanation: 1

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First, we make the following substitutions

{eq}\displaystyle u = 2x \quad (1) \\ \\ \displaystyle \Rightarrow du = 2dx \\ \\ \displaystyle...

See full answer below.

How to Solve Integrals Using Substitution

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Chapter 13 / Lesson 5
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Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples.