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Popular >

integral from-2 to 3 of x^2-x-6

Solution

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

Solution

- \frac{125}{6}

+1

Decimal Notation

- 20.83333 \dots

Solution steps

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

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

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

\int_{- 2}^{3} 6 d x = 30

= \frac{35}{3} - \frac{5}{2} - 30

Simplify

\frac{35}{3} - \frac{5}{2} - 30 : - \frac{125}{6}

= - \frac{125}{6}

Popular Examples

simplify 300x-1/2 x^2 simplify

300 x - \frac{1}{2} x^{2}

limit as x approaches 6 of x+2

x \to 6 lim (x + 2)

derivative of (343+x)^{-1/3}derivative of

(343 + x)^{- \frac{1}{3}}

derivative of 2x+7

\frac{d}{d x} (2 x + 7)

integral of (x)/(x^2+y^2)

\int \frac{x d y}{x ^{2} + y ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of x^2-x-6 ?
The integral from-2 to 3 of x^2-x-6 is -125/6