if ∫f(x)dx=f(x), then ∫{f(x)}2 dx is equal to | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

if ∫f(x)dx=f(x), then ∫{f(x)}2 dx is equal to

A

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

B

$\\{f(x)\\}^3$

C

$\frac{\\{f(x)\\}^3}{3}$

D

${\\{f(x)\\}^2}$

Answer

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

Explanation

Solution

The correct option is (A): $\frac{1}{2}\\{f(x)\\}^2$