# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\left(1-x\right)^{30}dx$

Learn how to solve calculus problems step by step online.

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

Learn how to solve calculus problems step by step online. Integrate int((1-1*x)^30)dx with respect to x. Solve the integral \int\left(1-x\right)^{30}dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify. The integral of a constant by a function is equal to the constant multiplied by the integral of the function.

$-\frac{1}{31}\left(1-x\right)^{31}+C_0$

### Problem Analysis

$\int\left(1-x\right)^{30}dx$

Calculus

~ 0.85 seconds