- #1

Mathmanman

- 60

- 0

## Homework Statement

∫ [0,∏/2] dx/[√sinx + √cosx]^4

## Homework Equations

None

## The Attempt at a Solution

∫ [0,∏/2] dx/[√sinx + √cosx]^4

= ∫ [0,∏/2] dx/[(√tanx + 1)^4 cosx^2]

= ∫ [0,∏/2] sec^2(x) dx/[(√tanx + 1)^4]

This is my attempt. I can only simplify. I'm stumped.

Can you also give me advice on solving integral problems like this?

Because it would be very nice to be able to evaluate problems like this without help.