Calculus Examples

$h (x) = \csc^{2} (x)$

The function $H (x)$ can be found by finding the indefinite integral of the derivative $h (x)$ .

$H (x) = \int h (x) d x$

Set up the integral to solve.

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

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

$- \cot (x) + C$

The answer is the antiderivative of the function $h (x) = \csc^{2} (x)$ .

$H (x) =$ $- \cot (x) + C$