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Let F(x) bet the area bounded by the cur...

Let `F(x)` bet the area bounded by the curve `f(t)=(e^(t))/(t)` between `t=a (a gt 1), t=x` and axis of abscissa then the area bounded by `g(t)=(e^(t))/(1+t_(0)) (t_(0) gt 0)` between t = a, t = x and axis of abscissa is

A

`e^(t_(0))[F(x+t_(0))-2F(a+t_(0))]`

B

`e^(t_(0))[F(x+t_(0))-F(a+t_(0))]`

C

`e^(-t_(0))[F(x+t_(0))-F(a+t_(0))]`

D

`e^(-t_(0))[F(x+t_(0))-F(a+t_(0))]`

Text Solution

Verified by Experts

The correct Answer is:
C
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