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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)
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)