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Evaluate: int(sin^5x)/(cos^4x)dx...

Evaluate: `int(sin^5x)/(cos^4x)dx`

Text Solution

Verified by Experts

We have given
`int(sin^5x)/(cos^4x)dx`
`sin^5x=sin^4xsinx=(sin^2x)^2sinx=(1-cos^2x)^2sinx`
Let `t=cosx`
`dt=-sinx dx`
`-dt=sinx dx`
Now,
`I=int((1-cos^2x)^2sinx)/(cos^4x)dx`
...
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