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Question Number 166702 by metamorfose last updated on 25/Feb/22

$$\int e^{x}ln\left(x\right)dx=..???$$

Commented by mkam last updated on 25/Feb/22

$$u=lnx\to du=\frac{dx}{x},dv=e^x\Rightarrow v=e^x$$$$$$$$I=e^{x}lnx-\int \frac{e^x}{x}dx=e^{x}lnx-Ei\left(x\right)+C$$

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