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Evaluate: int1/(cos2x+3sin^2x)dx...

Evaluate: `int1/(cos2x+3sin^2x)dx`

Text Solution

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Let `I=int 1/(cos2x+3sin^2x)dx`
`I=int 1/(1-2sin^2x+3sin^2 x)dx`
`I=int 1/(1+sin^2x)dx`
`I=int (sec^2x)/(sec^2x+tan^2x)dx`
...
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