The integral \int ( (\frac{x}{2}) ^x+ (\frac{2}{x}) ^x) \log _2 x \dx is equal to [8-Apr-2023 shift 2]

Correct Answer is : (x2)x−(2x)x+C

(\frac{x}{2}) ^x \log _2 (\frac{2}{x}) +C

(\frac{x}{2}) ^x- (\frac{2}{x}) ^x+C

(\frac{x}{2}) ^x \log _2 (\frac{x}{2}) +C

(\frac{x}{2}) ^x+ (\frac{2}{x}) ^x+C

JEE Mains 8-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 16 of 90

Marks: +1, -0

The integral ∫((‌

)x+(‌

)x)log2x‌dx is equal to

[8-Apr-2023 shift 2]

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