definite-integral

Question: Let$\frac{d}{dx}F(x)=\left( \frac{{{e}^{\sin x}}}{x} \right)\,;\,x>0$. If $\int_{\,1}^{\,4}{\frac{3}{x}{{e}^{\sin {{x}^{3}}}}dx=F(k)-F(1)}$, then one of the possible value of k, is



1) 15
2) 16
3) 63
4) 64
Solution: Explanation: No Explanation
Summation of series by definite Integration

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