jee-main 2017 Q68

jee-main · India · 09apr Indefinite & Definite Integrals Accumulation Function Analysis

If $f : \mathbb { R } \to \mathbb { R }$ is a differentiable function and $f ( 2 ) = 6$, then $\lim _ { x \to 2 } \int _ { 6 } ^ { f ( x ) } \frac { 2 t \, d t } { ( x - 2 ) }$ is:
(1) $2 f ^ { \prime } ( 2 )$
(2) $12 f ^ { \prime } ( 2 )$
(3) $0$
(4) $24 f ^ { \prime } ( 2 )$

If $f : \mathbb { R } \to \mathbb { R }$ is a differentiable function and $f ( 2 ) = 6$, then $\lim _ { x \to 2 } \int _ { 6 } ^ { f ( x ) } \frac { 2 t \, d t } { ( x - 2 ) }$ is:\\
(1) $2 f ^ { \prime } ( 2 )$\\
(2) $12 f ^ { \prime } ( 2 )$\\
(3) $0$\\
(4) $24 f ^ { \prime } ( 2 )$

Paper Questions

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