JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Let

F(x)

be the area bounded by the curve

f(t)=\frac{e^t}{t}

between

t=a(a > 1), t=x

and axis of abscissa then the area bounded by

g(t)=\frac{e^t}{t+t_0}\left(t_0 > 0\right)

between

t=a

t=x

and axis of abscissa is

View answer and explanation

Correct option: C

e^{-t_0}\left[F\left(x+t_0\right)-F\left(a+t_0\right)\right]

Option C (

e^{-t_0}[F(x+t_0)-F(a+t_0)]

) is correct because it represents the area calculated using a substitution and the given function F(x).

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