For x epsilonR, and a continuous functio...

For `x epsilonR`, and a continuous function `f` let `I_(1)=int_(sin^(2)t)^(1+cos^(2)t)xf{x(2-x)}dx` and `I_(2)=int_(sin^(2)t)^(1+cos^(2)t)f{x(2-x)}dx`.
Then `(I_(1))/(I_(2))` is

A

`I _(2)`

B

`1/2 I_(2)`

C

`2I_(2)`

D

`3I_(2)`

Text Solution

Verified by Experts

The correct Answer is:

A

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