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Popular >

integral from 3 to 0 of x^2

Solution

\int_{3}^{0} x^{2} d x

Solution

- 9

Solution steps

\int_{3}^{0} x^{2} d x

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

= - \int_{0}^{3} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{3}

= - [\frac{x ^{3}}{3}]_{0}^{3}

Compute the boundaries:

9

= - 9

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Frequently Asked Questions (FAQ)

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