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  4. ∫ x x ((1/ x )+ ln 2 x + ln x ) dx is equal to (where C is contant of integration)

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Q. $\int x ^{ x }\left(\frac{1}{ x }+\ln ^2 x +\ln x \right) dx$ is equal to (where $C$ is contant of integration)

Integrals

Solution:

Use $\int\left(f(x)+x f^{\prime}(x)\right) d x=x f(x)+C$