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Indefinite Integrals question

2023 · 8 Apr · Shift 2 · Q24

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2023 · 8 Apr · Shift 2 · Q24

Indefinite Integrals question

2023 · 8 Apr · Shift 2 · Q24

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int\left[\left(\frac{x}{2}\right)^x+\left(\frac{2}{x}\right)^x\right] \ln \left(\frac{e x}{2}\right) d x

is equal to :

A
$\left(\frac{x}{2}\right)^{x}+\left(\frac{2}{x}\right)^{x}+C$
B
$\left(\frac{x}{2}\right)^{x}-\left(\frac{2}{x}\right)^{x}+C$
C
$\left(\frac{x}{2}\right)^{x} \log _{2}\left(\frac{2}{x}\right)+C$
D
None

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