Question
Evaluate the indefinite integral. Illustrate, and check that your answer is reasonable, by graphing both the function and its antiderivative (take $C=0$ ). $\int x^{3 / 2} \ln x d x$
Step 1
This is a product of two functions: $x^{3/2}$ and $\ln x$. We can use integration by parts with the formula: $\int u \, dv = uv - \int v \, du$ Let's choose: - $u = \ln x$ - $dv = x^{3/2} \, dx$ Show more…
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