- #1

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## Homework Statement

integral of x^2ln(x)dx

## Homework Equations

## The Attempt at a Solution

u=ln(x)

du= 1/x

dv=x2dx

x^3/3

integral x^2ln(x)dx = ln(x)x^3/3-intergral(x^3/3)(1/x)

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- Thread starter jpd5184
- Start date

- #1

- 76

- 0

integral of x^2ln(x)dx

u=ln(x)

du= 1/x

dv=x2dx

x^3/3

integral x^2ln(x)dx = ln(x)x^3/3-intergral(x^3/3)(1/x)

- #2

Mark44

Mentor

- 34,891

- 6,629

You're on the right path. Just continue what you're doing, but simplify the integrand on the right. Don't forget dx or the constant of integration, though.## Homework Statement

integral of x^2ln(x)dx

## Homework Equations

## The Attempt at a Solution

u=ln(x)

du= 1/x

dv=x2dx

x^3/3

integral x^2ln(x)dx = ln(x)x^3/3-intergral(x^3/3)(1/x)

Here's the work in LaTeX. Click the equation to see what I did.

[tex]\int x^2 ln(x)dx = \frac{x^3}{3}ln(x) - \frac{1}{3}\int \frac{x^3}{x} dx + C[/tex]

- #3

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