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Evaluation of definite integrals by subs...

Evaluation of definite integrals by subsitiution and properties of its :
f is a function such that f'(x)=f(x) and f(0)=1g(x) is a function such that `g(x)+f(x)=x^(2)` then `int_(0)^(1)f(x)g(x)dx=………`

A

`(1)/(4)(e-7)`

B

`(1)/(4)(e-2)`

C

`(1)/(2)(e-3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
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