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Popular Calculus >

integral from 2 to 3 of (3-x)

Solution

\int_{2}^{3} (3 - x) d x

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

\int_{2}^{3} 3 - x 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_{2}^{3} 3 d x - \int_{2}^{3} x d x

\int_{2}^{3} 3 d x = 3

\int_{2}^{3} x d x = \frac{5}{2}

= 3 - \frac{5}{2}

Simplify

3 - \frac{5}{2} : \frac{1}{2}

= \frac{1}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of (3-x) ?
The integral from 2 to 3 of (3-x) is 1/2