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\int\ln\left(x^3\right)x^2dx

Integrate ln(x^3)x^2

Answer

$\frac{1}{3}\left(3x^3\ln\left(x\right)-x^3\right)+C_0$

Step-by-step explanation

Problem

$\int\ln\left(x^3\right)x^2dx$
1

Solve the integral $\int x^2\ln\left(x^3\right)dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=x^3 \\ du=3x^{2}dx\end{matrix}$

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Answer

$\frac{1}{3}\left(3x^3\ln\left(x\right)-x^3\right)+C_0$

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$\int\ln\left(x^3\right)x^2dx$

Main topic:

Integration by substitution

Used formulas:

2. See formulas

Time to solve it:

0.52 seconds