# Integral Help

## Homework Statement

solve the integral.

## Homework Equations

integral (sec(x)^2 / 4+tan(x)^2)

## The Attempt at a Solution

i tried replacing the numerator with the trig identity: tan(x)^2 + 1 -- but not sure what else to try.

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There is a very obvious substitution you can do here.

Consider the derivatives of trigonometric functions.

was the step i performed correct?

SammyS
Staff Emeritus
Homework Helper
Gold Member
was the step i performed correct?
No.

What is the derivative of tan(x) ?

What is d/dx (tanx)?
Edit: or what sammy says :)

Also, be careful that an integral is not the same thing as an antiderivative.

HallsofIvy