Let f: R → R be a continuously differentiable function such that f(2) = 6 and f'(2) = 1 48 . If _6^ f(x)...

Question

Let f: R → R be a continuously differentiable function such that f(2) = 6 and f'(2) = 1 48 . If _6^ f(x) 4t^3dt = (x - 2)g(x), then _ x 2 g(x) is equal to:

Accepted Answer

(A)

JEE Main 2019 Mathematics question

Solution