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Evaluate int(dx)/((sinx+a s e c x)^2) wh...

Evaluate `int(dx)/((sinx+a s e c x)^2)` when `|a|> 1/2.`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/((4a^(2)-1)^(3//2)){2a sin^(-1)((2a sin 2x+1)/(2a+sin 2x))+sqrt(1-((2a sin 2x+1)/(2a+sin 2x)))}-(1)/((2a+sin 2x))+C`
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