question_answer

Let \[\frac{d}{dx}\,F(x)\,=\left( \frac{{{e}^{\sin \,x}}}{x} \right),x>0.\] If \[\int\limits_{1}^{4}{\frac{3}{x}{{e}^{\sin \,{{x}^{3}}}}}dx\] \[=f(k)-F(1)\]then one of the possible values of k is __

A)  15                   

B)  16           

C)  63                   

D)  64