Let a function f:[0,5] R be continuous, f(1) = 3 and F be defined as F(x)= _1^x t^2g(t) ,dt, where g(t)= _1^t...

Question

Let a function f:[0,5] R be continuous, f(1) = 3 and F be defined as F(x)= _1^x t^2g(t) ,dt, where g(t)= _1^t f(u) ,du. Then for the function F, the point x = 1 is

Accepted Answer

(C)

JEE Main 2020 Mathematics question

Solution