JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Suppose a continuous function

f:[0, \infty) \rightarrow {R}

satisfies

f(x)=2 \int\limits_{0}^x t f(t) d t+1 \text { for all } x \geq 0.

Then

f(1)

equals

View answer and explanation

Correct option: A

e

Option A (e) is correct because the function f(x) is found to be

e^{x^2}

, and thus f(1) = e.

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