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If f is a continous function, then...

If f is a continous function, then

A

` int _(-2)^(2) f(x) dx = int _(0)^(2) [ f(x) - f(-x)] dx `

B

` int _(-3)^(5) 2f(x) dx = int _(-6)^(10) f(x-1) dx`

C

` int _(-3)^(5) f(x) dx = int _(-4)^(4) f(x-1) dx`

D

` int _(-3)^(5) f(x) dx = int _(-2)^(6) f(x-1) dx`

Text Solution

Verified by Experts

The correct Answer is:
B
Given, f(x) is a continous function.
Let us consider f(x) =x
`therefore " " int_(-3)^(5)2x dx=[x^(2)]_(-3)^(5)=16`
and `int_(-6)^(10)(x-1)dx=[(x^(2))/(2)-x]_(-6)^(10)=16`
`therefore " " int_(-3)^(5)2f(x)dx=int_(-6)^(10)f(x-1)dx`
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