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Let function F be defined as f(x)= int...

Let function F be defined as ` f(x)= int_1^x e^t/t dt x > 0 ` then the vaiue of the integral `int_1^1 e^t/(t+a) dt ` where ` a > 0 ` is

A

`e^(a)[F(x)-F(1+a)]`

B

`e^(-a)[F(x+a)-F(a)]`

C

`e^(a)[F(x+a)-F(1+a)]`

D

`e^(-a)[F(x+a)-F(1+a)]`

Text Solution

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The correct Answer is:
D
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