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Popular >

integral from-8 to-3 of-x^2-3x

Solution

\int_{- 8}^{- 3} - x^{2} - 3 x d x

Solution

- \frac{475}{6}

+1

Decimal Notation

- 79.16666 \dots

Solution steps

\int_{- 8}^{- 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_{- 8}^{- 3} x^{2} d x - \int_{- 8}^{- 3} 3 x d x

\int_{- 8}^{- 3} x^{2} d x = \frac{485}{3}

\int_{- 8}^{- 3} 3 x d x = - \frac{165}{2}

= - \frac{485}{3} - (- \frac{165}{2})

Simplify

- \frac{485}{3} - (- \frac{165}{2}) : - \frac{475}{6}

= - \frac{475}{6}

Popular Examples

integral from 0 to 6 of (1/(4-x))

\int_{0}^{6} (\frac{1}{4 - x}) d x

integral from-1 to 1 of e^{-x}-1

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

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

\int_{1}^{3} \frac{1}{x + x ^{2}} d x

integral from 1 to 1 of 2x

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

integral from 1 to e of 1/(x+xln(x))

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

Frequently Asked Questions (FAQ)

What is the integral from-8 to-3 of-x^2-3x ?
The integral from-8 to-3 of-x^2-3x is -475/6