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# Integrate the function $s\left(x-1\right)$ from 0 to $2$

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## Step-by-step Solution

Problem to solve:

$\int_{0}^{2} s\cdot\left(x-1\right)dx$

Specify the solving method

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The integral of a constant times a function is equal to the constant multiplied by the integral of the function

$s\int_{0}^{2}\left(x-1\right)dx$

Learn how to solve definite integrals problems step by step online.

$s\int_{0}^{2}\left(x-1\right)dx$

Learn how to solve definite integrals problems step by step online. Integrate the function s(x-1) from 0 to 2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Expand the integral \int_{0}^{2}\left(x-1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product s\left(\int_{0}^{2} xdx+\int_{0}^{2}-1dx\right). The integral s\int_{0}^{2} xdx results in: 2s.

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$\int_{0}^{2} s\cdot\left(x-1\right)dx$

### Main topic:

Definite Integrals

~ 0.07 s