Calculus Examples

$\int \sec^{2} (x) - 7 d x$

Step 1

Split the single integral into multiple integrals.

$\int \sec^{2} (x) d x + \int - 7 d x$

Step 2

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

$\tan (x) + C + \int - 7 d x$

Step 3

Apply the constant rule.

$\tan (x) + C - 7 x + C$

Step 4

Simplify.

$\tan (x) - 7 x + C$