Calculus Examples

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

Step 1

This integral could not be completed using u-substitution. Mathway will use another method.

Step 2

Convert from $\frac{1}{\cos^{2} (x)}$ to $\sec^{2} (x)$ .

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

Step 3

Since the derivative of $\tan (x)$ is $\sec^{2} (x)$ , the integral of $\sec^{2} (x)$ is $\tan (x)$ .

$\tan (x) + C$