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Let f(x) is a real valued function defin...

Let `f(x)` is a real valued function defined by `f(x)=x^(2)+x^(2) int_(-1)^(1) tf(t) dt+x^(3) int_(-1)^(1)f(t) dt`
then which of the following hold (s) good?

A

` int_(-1)^(1) tf(t) dt=(10)/(11)`

B

`f(1)+f(-1)=(30)/(11)`

C

`int_(-1)^(1)t f (t) dt gt int _(-1)^(1) f(t) dt`

D

`f(1)-f(-1)=(20)/(11)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
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