What is the integral from-6 to-1 of-x^2-7x-6 ?

The integral from-6 to-1 of-x^2-7x-6 is 125/6

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integral from-6 to-1 of-x^2-7x-6

\int_{- 6}^{- 1} - x^{2} - 7 x - 6 d x

\frac{125}{6}

Decimal Notation

20.83333 \dots

Solution steps

\int_{- 6}^{- 1} - x^{2} - 7 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_{- 6}^{- 1} x^{2} d x - \int_{- 6}^{- 1} 7 x d x - \int_{- 6}^{- 1} 6 d x

\int_{- 6}^{- 1} x^{2} d x = \frac{215}{3}

\int_{- 6}^{- 1} 7 x d x = - \frac{245}{2}

\int_{- 6}^{- 1} 6 d x = 30

= - \frac{215}{3} - (- \frac{245}{2}) - 30

Simplify

- \frac{215}{3} - (- \frac{245}{2}) - 30 : \frac{125}{6}

= \frac{125}{6}

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What is the integral from-6 to-1 of-x^2-7x-6 ?
The integral from-6 to-1 of-x^2-7x-6 is 125/6