Evaluate the integral using trigonometric substitution.

{eq}\displaystyle \int \frac{cos\ x}{sin^2\ x} dx {/eq}

Question:

Integrations Using Substitution

First we assume u is equal to some value in order to simplify the solution

Then we integrate the given function and substitute back the u value

Some of the formulas used to evaluate the integral are

{eq}\displaystyle \begin{align} \int x^adx&=\frac{x^{a+1}}{a+1}\\ \frac{d}{dx}\left(\sin \left(x\right)\right)&=\cos \left(x\right)\\ \end{align} {/eq}

Answer and Explanation: 1