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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫elog⁡5xdx=\int e^{\log_5 x} d x=
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Correct option: B
xlog⁡55elog⁡55e\frac{x^{\log_5 5e}}{\log _5 5 e}
Option B is correct because the integral of elog⁡5xe^{\log_5 x} simplifies to xlog⁡55elog⁡55e\frac{x^{\log_5 5e}}{\log_5 5 e} using properties of logarithms and integration.

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