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Let f (x) be a function satisfying f'(x)...

Let f (x) be a function satisfying f'(x) = f (x) with f (0) = 1 and g be the function satisfying `f(x)+g(x)=x^2` . The value of the integral `int_0^1f(x) g(x) dx` is

A

`1/4 (e - 7)`

B

`1/4 (e - 2)`

C

`1/2 (e - 3)`

D

None of these

Text Solution

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The correct Answer is:
D
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