JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int 5^{5^{5^x}} \cdot 5^{5^x} \cdot 5^x d x

is equal to

View answer and explanation

Correct option: C

\frac{5^{5^{5^x}}}{(\ell n 5)^3}+C

Option C (

\frac{5^{5^{5^x}}}{(\ell n 5)^3}+C

) is correct because it is the result of repeated u-substitutions and integration of an exponential function.

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