$\smallint {5^{{5^{{5^x}}}}} \cdot \,\,{5^{{5^x}}} \cdot \,\,{5^x}\;dx$ is equal to

$\frac{{{5^{{5^x}}}}}{{{{\left( {\log \,\,5} \right)}^3}}}\,\, + \,\,C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

\int {5^{{5^{{5^x}}}}} \cdot \,\,{5^{{5^x}}} \cdot \,\,{5^x}\;dx

is equal to

View answer and explanation

Correct option: C

\frac{{{5^{{5^{{5^x}}}}}}}{{{{\left( {\log \,\,5} \right)}^3}}}\,\, + \,\,C

Option A (

\mathrm{1}

) is correct because the limit is evaluated by simplifying the integral and applying the limit definition.

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