NIMCET 2024 — Mathematics PYQ

Solution:

According to the additive property of definite integrals, for any three numbers $a,b,$ and $c$ in the domain of a continuous function $f(x)$:

In this problem:

$a=0$

$b=3$

$c=5$

$f(x)=e^{x^2}$

Substituting these values into the property:

This identity holds true regardless of whether $c$ lies between $a$ and $b$ or outside the interval.

Correct Option: (B)