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Let I=int(cos^(3)x)/(1+sin^(2)x)dx, then...

Let `I=int(cos^(3)x)/(1+sin^(2)x)dx`, then I is equal to (where c is the constant of integration )

A

`2tan^(-1)(x)+sinx+c`

B

`2tan^(-1)(sinx)-sinx+c`

C

`2tan^(-1)(x)-x+c`

D

`2tan^(-1)(sinx)+sinx+c`

Text Solution

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The correct Answer is:
B
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