Evaluate int(dx)/((sin x + a sec x)^(2))...

Evaluate `int(dx)/((sin x + a sec x)^(2)), a in Z`.

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The correct Answer is:

`I=(1)/((4a^(2)-1))*(cos2x)/((2a+sin2x))+(4a)/((4a^(2)-1)^(3//2))tan^(-1)((2atanx+1)/(sqrt(4a^(2)-1)))-(1)/((2a+sin2x))+C`

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