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Solve int(1+x cos x)/(x(1-x^(2)e^(2 sin ...

Solve `int(1+x cos x)/(x(1-x^(2)e^(2 sin x)))dx`.

Text Solution

Verified by Experts

The correct Answer is:
`log| x e^(sin x)|- 1/2 log |1-x^(2)e^(2 sin x)|+C`
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int_(0)^(pi//2) (sin x cos x) / ((1 + 2 sin x ) ( 1+ sin x))dx =