Question

\[\int \frac{dx}{sinx+cosx}\]

Answer 1

\[ \sin x + \cos x = \sqrt 2 \cos( x - \pi/4)\]

Answer 2

alternatively you can use
http://en.wikipedia.org/wiki/Weierstrass_substitution

Answer 3

Thanks.. I forgot to use that relation... Its so simple now.

Answer 4

use \sin or \cos before sin and cos