Calculus Examples

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

Step 1

$\int \frac{\sin (2 x)}{1 + \cos^{2} (x)} d x$ is an antiderivative of $\frac{\sin (2 x)}{1 + \cos^{2} (x)}$ , so by definition $\frac{d}{d x} [\int \frac{\sin (2 x)}{1 + \cos^{2} (x)} d x]$ is $\frac{\sin (2 x)}{1 + \cos^{2} (x)}$ .

$\frac{\sin (2 x)}{1 + \cos^{2} (x)}$