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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Q)

Integrate : $ \int e^{ \log a }. x^e. dx$

\[\begin {array} {1 1} (a)\;a.x^e+c \\ (b)\;a.\frac{x^{e+1}}{e+1}+c \\ (c)\;\frac{x^e}{\log e}.a +c \\ (d)\;None \end {array}\]

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A)
$e^{\log a } \int x^e dx$
$ a.\large\frac{x^{e+1}}{e+1}$$+c$
Hence b is the correct answer.
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