If f: R → R is a differentiable function and f(2) = 6, then lim x → 2 (∫₆^(f(x)) 2tdt)/((x - 2)) is:-

Integral Calculus: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Apr, Evening shift · Q3304

JEE Main 20199 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

If f : R

\to

R is a differentiable function and f(2) = 6, then

\mathop {\lim }\limits_{x \to 2} {{\int\limits_6^{f\left( x \right)} {2tdt} } \over {\left( {x - 2} \right)}}

is :-

JEE Main 2019 · 9 Apr, Evening shift · Q3304

JEE Main 20199 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002

If f : R

\to

R is a differentiable function and f(2) = 6, then

\mathop {\lim }\limits_{x \to 2} {{\int\limits_6^{f\left( x \right)} {2tdt} } \over {\left( {x - 2} \right)}}

is :-