JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let function

F

be defined as

F(x)=\int\limits_{1}^x \frac{\mathrm{e}^t}{\mathrm{t}} \mathrm{dt}, x > 0

then the value of the integral

\int\limits_{1}^x \frac{\mathrm{e}^t}{t+a} d t

, where

a > 0

, is:

View answer and explanation

Correct option: D

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

Option D (

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

) is correct because it is the result obtained after applying a suitable substitution and using the given definition of the function F(x).

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