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Popular Calculus >

integral from 7 to 2 of x

Solution

\int_{7}^{2} x d x

Solution

- \frac{45}{2}

+1

Decimal

- 22.5

Solution steps

\int_{7}^{2} x d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{2}^{7} x d x

Apply the Power Rule

= - [\frac{x ^{2}}{2}]_{2}^{7}

Compute the boundaries:

\frac{45}{2}

= - \frac{45}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 7 to 2 of x ?
The integral from 7 to 2 of x is -45/2