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Step-by-step Solution

Integral of $\left(x-1\left(\frac{1}{3}\right)\right)^3$

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Answer

$\frac{\left(x-\frac{1}{3}\right)^{4}}{4}+C_0$

Step-by-step explanation

Problem to solve:

$\int\left(x-\frac{1}{3}\right)^3dx$
1

Multiply $-1$ times $0.3333$

$\int\left(x-\frac{1}{3}\right)^3dx$
2

Solve the integral $\int\left(x-\frac{1}{3}\right)^3dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=x-\frac{1}{3} \\ du=dx\end{matrix}$

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Answer

$\frac{\left(x-\frac{1}{3}\right)^{4}}{4}+C_0$
$\int\left(x-\frac{1}{3}\right)^3dx$

Main topic:

Integration by substitution

Used formulas:

4. See formulas

Time to solve it:

~ 0.75 seconds

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