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Evaluate: int(0)^(pi/4)(dx)/(a^(2)sin^(2...

Evaluate: `int_(0)^(pi/4)(dx)/(a^(2)sin^(2)x+b^(2)cos^(2)x)=(1)/(ab)tan^(-1)(a/b)`, where a,b>0

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(ab)tan^(-1)(a/b)`.
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