$\smallint \,\,{e^{x\log a}}\,\, \cdot \,\,{e^x}\;\,dx$ is equal to

$\frac{{{e^x}}}{{1\,\, + \,\,\log \,\,a}}$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,{e^{x\log a}}\,\, \cdot \,\,{e^x}\;\,dx

is equal to

View answer and explanation

Correct option: B

\frac{{{{\left( {ae} \right)}^x}}}{{\log \,\,\left( {ae} \right)}}

Option B (

\frac{{{{\left( {ae} \right)}^x}}}{{\log \,\,\left( {ae} \right)}}

) is correct because after simplifying the integrand and integrating, the result matches this option.

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