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If f(x) is continuous and int(0)^(9)f(x)...

If f(x) is continuous and `int_(0)^(9)f(x)dx=4`, then the value of the integral `int_(0)^(3)x.f(x^(2))dx` is

A

2

B

18

C

16

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Let `I=int_(0)^(3)x.f(x^(2))dx`
Put `x^(2)=t`
`rArr" "2x.dx=dt`
`rArr" "I=(1)/(2)int_(0)^(9)f(t)dt=(1)/(2).4=2`
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