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Popular >

integral from 1 to 3 of x^2-3x

Solution

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

Solution

- \frac{10}{3}

+1

Decimal

- 3.33333 \dots

Solution steps

\int_{1}^{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_{1}^{3} x^{2} d x - \int_{1}^{3} 3 x d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 3 x d x = 12

= \frac{26}{3} - 12

Simplify

\frac{26}{3} - 12 : - \frac{10}{3}

= - \frac{10}{3}

Graph

Popular Examples

integral from 1 to 2 of (1+1/x+1/(x^2))

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

integral from 0 to 1 of x^3-x^2-2x

\int_{0}^{1} x^{3} - x^{2} - 2 x d x

integral from-3 to 4 of sqrt(25-x^2)

\int_{- 3}^{4} 25 - x^{2} d x

integral from-4 to-1 of x^2

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

integral from 1 to 5 of 3x^2+7x

\int_{1}^{5} 3 x^{2} + 7 x d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2-3x ?
The integral from 1 to 3 of x^2-3x is -10/3