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JEEMAIN and NEET
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JEEMAIN PAST PAPERS
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2003
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Let $\begin{align*}\frac{d}{dx} F(x) =(\frac{e^{\sin x}}{x}), \; x > 0 \end{align*}$ <br> If $\begin{align*} \int_1^4 \frac{3}{x} e^{\sin x^3} dx = F(k) - F(1) \end{align*}$, <br> then one of the possible values of $k$, is
( A ) 15
( B ) 64
( C ) 16
( D ) 63
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