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If a continous function f satisfies int0...

If a continous function f satisfies `int_0^f(x) t^2 dt=x^2(1+x)` for all `xge0` then f(2) is equal to

A

12

B

`root3 (36)`

C

3

D

`root3 (42)`

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The correct Answer is:
B
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