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Popular Calculus >

integral from 0 to 3 of-x+3

Solution

\int_{0}^{3} - x + 3 d x

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

\int_{0}^{3} - x + 3 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

= - \int_{0}^{3} x d x + \int_{0}^{3} 3 d x

\int_{0}^{3} x d x = \frac{9}{2}

\int_{0}^{3} 3 d x = 9

= - \frac{9}{2} + 9

Simplify

- \frac{9}{2} + 9 : \frac{9}{2}

= \frac{9}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of-x+3 ?
The integral from 0 to 3 of-x+3 is 9/2