Calculus Examples

$\frac{1}{\sec (x)}$

Step 1

Simplify.

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Step 1.1

Rewrite $\sec (x)$ in terms of sines and cosines.

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

Step 1.2

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\cos (x)}$ .

$\int 1 \cos (x) d x$

Step 1.3

Multiply $\cos (x)$ by $1$ .

$\int \cos (x) d x$

Step 2

The integral of $\cos (x)$ with respect to $x$ is $\sin (x)$ .

$\sin (x) + C$