If $\int f(x) d x=f(x)$, then $\int\{f(x)\}^2 d x$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int f(x) d x=f(x)

, then

\int\{f(x)\}^2 d x

is equal to

View answer and explanation

Correct option: A

\frac{1}{2}\{f(x)\}^2

Option A (

\frac{1}{2}\{f(x)\}^2

) is correct because the integral of the square of the function is half the square of the function, given the initial condition.

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