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Evaluate int(sin^(6)x)/(cos^(8)x)dx...

Evaluate `int(sin^(6)x)/(cos^(8)x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(tan^(7)x)/(7)+C`
`int(sin^(6)x)/(cos^(8)x)dx=int(sin^(6)x)/(cos^(6)x)xx(1)/(cos^(2)x)dx`
`=inttan^(6)x sec^(2)xdx`
`=(tan^(7)x)/(7)+C`
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