Calculus Examples

$\int_{a}^{b} \sec^{2} (x) d x$

Step 1

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

$\tan (x)]_{a}^{b}$

Step 2

Evaluate $\tan (x)$ at $b$ and at $a$ .

$\tan (b) - \tan (a)$