Integrate the functions(cos2x)/((cosx+si...

Integrate the functions`(cos2x)/((cosx+sinx)^2)`

Text Solution

Verified by Experts

Given `(cos2x)/((cosx+sinx)^2)`
`=(cos2x)/(cos^2x+sin^2x+2sinxcosx)`
`=(cos2x)/(1+sin2x)`
`:.int(cos2x)/((cosx+sinx)^2)dx=int(cos2x)/(1+sin2x)dx`
...

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Knowledge Check

int(cos2x)/(cosx-sinx)dx=

A

`sinx+cosx+c`

B

`cosx-sinx+c`

C

`sinx-cosx+c`

D

`sinx.cosx+c`

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