JEE MAIN - Mathematics Hindi (2023 - 8th April Evening Shift - No. 3)
समाकलन $$ \int\left[\left(\frac{x}{2}\right)^x+\left(\frac{2}{x}\right)^x\right] \ln \left(\frac{e x}{2}\right) d x $$ बराबर है :
$$\left(\frac{x}{2}\right)^x+\left(\frac{2}{x}\right)^x+C$$
$$\left(\frac{x}{2}\right)^x-\left(\frac{2}{x}\right)^x+C$$
$$\left(\frac{x}{2}\right)^x \log _2\left(\frac{x}{2}\right)+C$$
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