JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int 5^{\log _{\mathrm{e}} \mathrm{x}} \mathrm{dx}=

View answer and explanation

Correct option: B

\frac{\mathrm{x}^{\left(\log _c 5+1\right)}}{\log _e 5+1}+\mathrm{c}

Option B (

\frac{{\mathrm{x}^{\left(\log _c 5+1\right)}}}{{\log _e 5+1}}+\mathrm{c}

) is correct because

5^{\log_e x} = x^{\log_e 5}

, and integrating

x^{\log_e 5}

gives the result.

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