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Popular >

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

Solution

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

Solution

\frac{27}{4}

+1

Decimal

6.75

Solution steps

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

\int_{0}^{3} 3 x^{2} d x = 27

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

= 27 - \frac{81}{4}

Simplify

27 - \frac{81}{4} : \frac{27}{4}

= \frac{27}{4}

Graph

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\int_{- 6}^{3} \frac{3}{x ^{2}} d x

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\int_{2}^{7} \frac{4 x}{x ^{2} + 1} d x

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\int_{y}^{x} \frac{1}{x} d x

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\int_{- 2}^{4} x^{2} ∣ x - 1 ∣ d x

integral from 1 to 9 of 5sqrt(u)

\int_{1}^{9} 5 u d u

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 3x^2-x^3 ?
The integral from 0 to 3 of 3x^2-x^3 is 27/4