If u = ln(x) and dv = x^2 dx, what is the result of integrating by parts?

Question

Edzy · Accepted Answer

The integration gives u = ln(x), dv = x^2 dx leading to the result ∫x^2 ln(x) dx = x^2 ln(x) - ∫2x ln(x) dx leading to: x^2 ln(x) - (1/3)x^3 + C. The other options do not incorporate this correctly.

If u = ln(x) and dv = x^2 dx, what is the result of integrating by parts?

If u = ln(x) and dv = x^2 dx, what is the result of integrating by parts?

Students who asked this also explored