If $\int \frac{2^{1 / x}}{x^2} d x=a\, 2^{1 / x}+C$, then $a=$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{2^{1 / x}}{x^2} d x=a\, 2^{1 / x}+C

, then

a=

View answer and explanation

Correct option: A

-\log _2 e

Option A (

- \log _2 e

) is correct because, after simplifying the integral, the coefficient of

2^{1/x}

-\log_2 e

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