Calculus Examples

$\int \frac{1}{\sin^{2} (x)} d x$

Step 1

Convert from $\frac{1}{\sin^{2} (x)}$ to $\csc^{2} (x)$ .

$\int \csc^{2} (x) d x$

Step 2

Since the derivative of $- \cot (x)$ is $\csc^{2} (x)$ , the integral of $\csc^{2} (x)$ is $- \cot (x)$ .

$- \cot (x) + C$