JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x) = \int_0^x {{e^t}f(t)dt + {e^x}}

be a differentiable function for all

x \in R

. Then,

f(x)

equals

View answer and explanation

Correct option: A

2{e^{({e^x} - 1)}} - 1

Option A (

2{e^{({e^x} - 1)}} - 1

) is correct because it is the solution to the given integral equation after differentiation and integration.

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