JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Let

\frac{d}{d x} F(x)=\left(\frac{e^{\sin x}}{x}\right) ; x > 0

. If

\int\limits_{1}^4 \frac{3}{x} e^{\sin x^3} d x=F(k)-F(1)

, then one of the possible value of

k

View answer and explanation

Correct option: D

Option D (64) is correct because by substituting

x^3 = t

, the integral transforms into a form that allows direct comparison with the given function F(x).

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