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Popular >

integral from 0 to 3 of 2x^2-x^3

Solution

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

Solution

- \frac{9}{4}

+1

Decimal

- 2.25

Solution steps

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

\int_{0}^{3} 2 x^{2} d x = 18

\int_{0}^{3} x^{3} d x = \frac{81}{4}

= 18 - \frac{81}{4}

Simplify

18 - \frac{81}{4} : - \frac{9}{4}

= - \frac{9}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 2x^2-x^3 ?
The integral from 0 to 3 of 2x^2-x^3 is -9/4