JEE Main 20238 Apr, Evening shiftMathematicsHardIntegral Calculus369× since 2002The integral ∫[(x2)x+(2x)x]ln(ex2)dx\int\left[\left(\frac{x}{2}\right)^x+\left(\frac{2}{x}\right)^x\right] \ln \left(\frac{e x}{2}\right) d x∫[(2x)x+(x2)x]ln(2ex)dx is equal to :AOption A. (x2)x+(2x)x+C\left(\frac{x}{2}\right)^{x}+\left(\frac{2}{x}\right)^{x}+C(2x)x+(x2)x+CBOption B. (x2)x−(2x)x+C\left(\frac{x}{2}\right)^{x}-\left(\frac{2}{x}\right)^{x}+C(2x)x−(x2)x+CCOption C. (x2)xlog2(2x)+C\left(\frac{x}{2}\right)^{x} \log _{2}\left(\frac{2}{x}\right)+C(2x)xlog2(x2)+CDOption D. NoneCheckSkip · show solution
