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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
If f(x)=eg(x)f(x)=e^{g(x)} and g(x)=∫2xtdt1+t4g(x)=\int_2^x \frac{t d t}{1+t^4}, then f′(2)f^{\prime}(2) is equal to
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Correct option: A
2/172 / 17
Option A is correct because using the chain rule and the fundamental theorem of calculus, we find f′(2)=2/17f'(2) = 2/17.

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