jee-main 2019 Q84

jee-main · India · session2_09apr_shift2 Indefinite & Definite Integrals Finding a Function from an Integral Equation

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

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

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