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If int f(x)dx=F(x), then intx^3f(x^2)dx ...

If `int f(x)dx=F(x),` then `intx^3f(x^2)dx` is equal to :

A

`1/2[x^(2){F(x)}^(2)dx]`

B

`1/2[x^(2)F(x^(2))-intF(x^(2))d(x^(2))]`

C

`1/2[x^(2)F(x)-1/2 int {F(x)}^(2)dx]`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
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