Question

Solve each of the integral

$\int sec4xdx$

Short answer

Answer is$\frac{\ln \left|sec4x+\tan 4x\right|}{4}+C$

Step-by-step solution

Step 1. Given information

Integral is$\int sec4x$

Step 2. Explanation

Use the formula:$\int secy=\ln \left|secy+\tan y\right|+C$

Therefore,

$\int sec4x=\frac{\ln \left|sec4x+\tan 4x\right|}{4}+C$