What is the integral from 90 to 0 of x ?

The integral from 90 to 0 of x is -4050

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integral from 90 to 0 of x

\int_{90}^{0} x d x

- 4050

Solution steps

\int_{90}^{0} x d x

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

= - \int_{0}^{90} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{90}

= - [\frac{x ^{2}}{2}]_{0}^{90}

Compute the boundaries:

4050

= - 4050

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What is the integral from 90 to 0 of x ?
The integral from 90 to 0 of x is -4050