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Definite Integration question

2019 · 9 Apr · Shift 2 · Q41
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  5. /2019 · 9 Apr · Shift 2 · Q41

Definite Integration question

2019 · 9 Apr · Shift 2 · Q41

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
If f : R →\to→ R is a differentiable function and f(2) = 6, then lim⁡x→2∫6f(x)2tdt(x−2)\mathop {\lim }\limits_{x \to 2} {{\int\limits_6^{f\left( x \right)} {2tdt} } \over {\left( {x - 2} \right)}}x→2lim​(x−2)6∫f(x)​2tdt​ is :-
  1. A
    2f'(2)
  2. B
    24f'(2)
  3. C
    0
  4. D
    12f'(2)
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