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

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Final Answer

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Step-by-step Solution

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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.

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

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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.

Final Answer

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Function Plot

Plotting: $s\left(x-1\right)$

Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

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