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Let f:RtoR be a differentiable function ...

Let `f:RtoR` be a differentiable function such that `f(x)=x^(2)+int_(0)^(x)e^(-t)f(x-t)dt`.
The value of `int_(0)^(1)f(x)dx` is

A

`1/3`

B

`1/4`

C

`7/12`

D

`5/12`

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The correct Answer is:
D
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VIKAS GUPTA (BLACK BOOK) ENGLISH-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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