The value of the integral inte^(sin^(2)...

The value of the integral `inte^(sin^(2)x)(cosx+cos^3x)sinx dx` is

A

`1/2 e^(sin^(2)x)(3-sin^(2)x)+C`

B

`e^( sin^(2)x)(1+1/2 cos^(2)x)+C`

C

`e^(sin^(2)x)(3 cos^(2)x + 2 sin^(2)x)+C`

D

`e^(sin^(2)x)( 2 cos^(2)x+3 sin^(2)x)+C`

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The correct Answer is:

A, B

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