Antiderivative Help: Solving ∫(1+sin(x))/(cos^2(x)) dx

[pmqable]

Homework Statement

Here is the problem: ∫(1+sin(x))/(cos^2(x)) dx

Also- how do you guys type equations in this? The quick symbols doesn't have a fraction bar or definite integral...

Homework Equations

sin^2(x)+cos^2(x)=1

The Attempt at a Solution

I substituted 1-sin^2(x) for cos^2(x) and factored that to (1+sin(x))(1-sin(x)). The 1+sin(x) in the numerator and denominator canceled out so the integral is now ∫dx/(1-sin(x)). I don't know what to do now

 

[micromass]

Try Weierstrass substitution: http://en.wikipedia.org/wiki/Weierstrass_substitution