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

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

A

`1/3[ x^(3) Psi (x^(3))-int x^(2) Psi (x^(3))dx]+C`

B

`1/3 x^(3) Psi (x^(3))-3 int x^(3) Psi(x^(3))dx+C`

C

`1/2 x^(3) Psi (x^(3))-int x^(2) Psi (x^(3))dx+C`

D

`1/3 [x^(3)Psi (x^(3))-int x^(3) Psi (x^(3))dx]+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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