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Popular >

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

Solution

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

Solution

- \frac{10}{3}

+1

Decimal Notation

- 3.33333 \dots

Solution steps

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

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 3 x d x = 6

= \frac{8}{3} - 6

Simplify

\frac{8}{3} - 6 : - \frac{10}{3}

= - \frac{10}{3}

Popular Examples

integral from 0 to 4 of (2x+1)^{-1/2}

\int_{0}^{4} (2 x + 1)^{- \frac{1}{2}} d x

integral from-2 to 2 of 1-sqrt(4-x^2)

\int_{- 2}^{2} 1 - 4 - x^{2} d x

integral from 100 to 200 of (600)/(x^2)

\int_{100}^{200} \frac{600}{x ^{2}} d x

integral from 3 to 6 of x^4ln(2x)

\int_{3}^{6} x^{4} ln (2 x) d x

integral from 0 to 1 of sqrt(1-r^2)*r

\int_{0}^{1} 1 - r^{2} \cdot r d r

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2-3x ?
The integral from 0 to 2 of x^2-3x is -10/3