JEE PYQ: Definite Integration Question 42
Question 42 - 2019 (12 Apr Shift 1)
Let $f : \mathbb{R} \to \mathbb{R}$ be a continuously differentiable function such that $f(2) = 6$ and $f’(2) = \dfrac{1}{48}$.
If $\int_6^{f(x)} 4t^3,dt = (x - 2),g(x)$, then $\lim_{x \to 2} g(x)$ is equal to:
(1) $18$
(2) $24$
(3) $12$
(4) $36$