If \[f(x)=\int_{a}^{x}{{{t}^{3}}{{e}^{t}}\,dt\,,}\] then \[\frac{d}{dx}\,f(x)=\] [MP PET 1989]

\[{{e}^{x}}({{x}^{3}}+3{{x}^{2}})\]

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

1.	If \[f(x)=\int_{a}^{x}{{{t}^{3}}{{e}^{t}}\,dt\,,}\] then \[\frac{d}{dx}\,f(x)=\] [MP PET 1989]
A.	\[{{e}^{x}}({{x}^{3}}+3{{x}^{2}})\]
B.	\[{{x}^{3}}{{e}^{x}}\]
C.	\[{{a}^{3}}{{e}^{a}}\]
D.	None of these
Answer» C. \[{{a}^{3}}{{e}^{a}}\]

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If \[f(x)=\int_{a}^{x}{{{t}^{3}}{{e}^{t}}\,dt\,,}\] then \[\frac{d}{dx}\,f(x)=\] [MP PET 1989]

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