definite-integral

Question: If $f(x)=\int_{a}^{x}{{{t}^{3}}{{e}^{t}}\,dt\,,}$ then $\frac{d}{dx}\,f(x)=$



1) ${{e}^{x}}({{x}^{3}}+3{{x}^{2}})$
2) ${{x}^{3}}{{e}^{x}}$
3) ${{a}^{3}}{{e}^{a}}$
4) None of these
Solution: Explanation: No Explanation
Properties of definite integration

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