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Popular >

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

Solution

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

Solution

- \frac{9}{2}

+1

Decimal

- 4.5

Solution steps

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

\int_{0}^{3} x^{2} d x = 9

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

= 9 - \frac{27}{2}

Simplify

9 - \frac{27}{2} : - \frac{9}{2}

= - \frac{9}{2}

Graph

Popular Examples

integral from 1/3 to 3 of (5-5/(x^2))

\int_{\frac{1}{3}}^{3} (5 - \frac{5}{x ^{2}}) d x

integral from 0 to 1 of xe^{x-1}

\int_{0}^{1} x e^{x - 1} d x

integral from-pi/3 to (3pi)/4 of sin(x)

\int_{- \frac{π}{3}}^{\frac{3 π}{4}} sin (x) d x

integral from 0 to 3 of (9x-x^3)

\int_{0}^{3} (9 x - x^{3}) d x

integral from 1 to 5 of 4x

\int_{1}^{5} 4 x d x

Frequently Asked Questions (FAQ)

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