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Popular Calculus >

integral of 3(x-1)

Solution

\int 3 (x - 1) d x

Solution

3 (\frac{x ^{2}}{2} - x) + C

Solution steps

\int 3 (x - 1) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int x - 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= 3 (\int x d x - \int 1 d x)

\int x d x = \frac{x ^{2}}{2}

\int 1 d x = x

= 3 (\frac{x ^{2}}{2} - x)

Add a constant to the solution

= 3 (\frac{x ^{2}}{2} - x) + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3(x-1) ?
The integral of 3(x-1) is 3((x^2)/2-x)+C