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Popular >

integral from 0 to 5 of (x^2-3x)

Solution

\int_{0}^{5} (x^{2} - 3 x) d x

Solution

\frac{25}{6}

+1

Decimal

4.16666 \dots

Solution steps

\int_{0}^{5} 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}^{5} x^{2} d x - \int_{0}^{5} 3 x d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 3 x d x = \frac{75}{2}

= \frac{125}{3} - \frac{75}{2}

Simplify

\frac{125}{3} - \frac{75}{2} : \frac{25}{6}

= \frac{25}{6}

Graph

Popular Examples

integral from-1 to 5 of 2x+3

\int_{- 1}^{5} 2 x + 3 d x

integral from 4 to 9 of x^{-3/2}

\int_{4}^{9} x^{- \frac{3}{2}} d x

integral from-3 to 3 of pi(9-x^2)

\int_{- 3}^{3} π (9 - x^{2}) d x

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

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

integral from-1 to 2 of [(x+2)-x^2]

\int_{- 1}^{2} [(x + 2) - x^{2}] d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x^2-3x) ?
The integral from 0 to 5 of (x^2-3x) is 25/6