- #1

- 81

- 0

## Homework Statement

Integrate: [tex] \int \frac{1}{\sin{x}+cos{x}}dx[/tex]

## Homework Equations

The one above and basic integration formulae which need not be mentioned.

## The Attempt at a Solution

[tex] \int \frac{1}{(\sin{x}+cos{x})} \times\frac{(\sin{x}-cos{x})}{(\sin{x}-cos{x})} dx [/tex]

[tex] - \int \frac{\sin{x}-cos{x}}{\cos^2{x}-sin^2{x}} dx [/tex]

[tex] - \int \frac{\sin{x}-cos{x}}{\cos{2x}} dx [/tex]

Well after that I can't figure out what to do next...

Last edited: