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If I=int(sinx+sin^3x)/(cos2x) dx=Pcosx+Q...

If `I=int(sinx+sin^3x)/(cos2x) dx`=`Pcosx+Q log|f(x)|+R`,then

A

`A=/4, B=-1/sqrt(2), f(x) = (sqrt(2)cosx-1)/(sqrt(2)cosx+1)`

B

`A=-1/2, B=-3/(4sqrt(2)), f(x) = (sqrt(2)cosx-1)/(sqrt(2)cosx+1)`

C

`A=-1/2, B=3/sqrt(2), f(x) = (sqrt(2)cosx+1)/(sqrt(2)cosx-1)`

D

`A=1/2, B=-3/(4sqrt(2)), f(x) = (sqrt(2)cosx-1)/(sqrt(2)cosx+1)`

Text Solution

Verified by Experts

The correct Answer is:
d
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