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Definite Integration question

2019 · 12 Apr · Shift 1 · Q33

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 12 Apr · Shift 1 · Q33

Definite Integration question

2019 · 12 Apr · Shift 1 · Q33

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let f : R

\to

R be a continuously differentiable function such that f(2) = 6 and f'(2) =

{1 \over {48}}

. If

\int\limits_6^{f\left( x \right)} {4{t^3}} dt

= (x - 2)g(x), then

\mathop {\lim }\limits_{x \to 2} g\left( x \right)

is equal to :

A
18
B
36
C
12
D
24

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