integration definite

\int_{0}^{3\alpha }{cosec(x-\alpha )cosec(x-2\alpha )}dx

ans------->2cosec\alpha log(1/2 sec\alpha )

1 Answers

$\int \frac{1}{sin ( x- \alpha) sin ( x- 2\alpha)}$

multiply by sin Î±

write sinÎ±= sin( x- Î±-( x - 2Î±)

$\int \frac{sin[ x- \alpha-( x- 2\alpha) ]}{sin\alpha. sin ( x- \alpha) sin ( x- 2\alpha)}$

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