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## Homework Statement

∫dt/(t^2 +2tcos a + 1)

(Limits of the integral are from 0 to 1)

(0<a<π)

## Homework Equations

## The Attempt at a Solution

Put t=sin a

dt=cosa da

∫dt/(t^2 +2tcos a + 1) = ∫cos a da/(sin^2 a + sin 2a + 1) [ limits of integration changed to 0 to π/2]

= ((cosec a)/2) ∫sin 2a da/(sin^2 a + sin 2a + 1)

I couldn't figure out what to do next... Please help!!

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