Step-by-step Solution

Integrate $\int x\left(1-3x^2\right)^4dx$ with respect to x

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Step-by-step explanation

Problem to solve:

$\int x\left(1-3x^2\right)^4dx$

Learn how to solve calculus problems step by step online.

$\begin{matrix}u=1-3x^2 \\ du=-6xdx\end{matrix}$

Unlock this full step-by-step solution!

Learn how to solve calculus problems step by step online. Calculate the integral of int(x*(1-3*x^2)^4)dx. Solve the integral \int x\left(1-3x^2\right)^4dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify. Take the constant out of the integral.

Final Answer

$-\frac{1}{30}\left(1-3x^2\right)^{5}+C_0$

Problem Analysis

$\int x\left(1-3x^2\right)^4dx$

Main topic:

Calculus

Related formulas:

1. See formulas

Time to solve it:

~ 0.04 seconds