Write the integral in terms of u and du. Then evaluate. ? (ln(x))^17 / x dx, u = ln(x) (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) ? (ln(x))^17 / x dx =
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We need to find $du$ in terms of $dx$. To do this, we can differentiate both sides of the equation with respect to $x$: $$\frac{du}{dx} = \frac{d(\ln(x))}{dx}$$ We know that the derivative of $\ln(x)$ with respect to $x$ is $\frac{1}{x}$: $$\frac{du}{dx} = Show more…
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