Question

how to integrate this weirdo? http://puu.sh/1TAFT

Answer 1

Multiply by it's conjugate.

Answer 2

@abb0t is entirely correct. Observe what happens when multiplying by \(\frac{1-\cos x}{1-\cos x}\):$$\int\frac{1}{1+\cos x}\times\frac{1-\cos x}{1-\cos x}dx\\=\int\frac{1-\cos x}{1-\cos^2x}dx$$Now, do you remember your trigonometric identities. Hint: think Pythagoras.

Answer 3

?*

Answer 4

@abb0t snaker?