Question
Evaluate $\int e^{x}\left(\ln x+\frac{1}{x}\right) d x$ by using integration by parts on $\int e^{x} \ln x d x$
Step 1
Step 1: First, we expand the integral by distributing $e^x$ to both terms inside the brackets: $$\int e^{x}\left(\ln x+\frac{1}{x}\right) d x = \int e^{x} \ln x dx + \int e^{x} \frac{1}{x} dx$$ Show more…
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