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

解

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

- \frac{250}{3}

十進法表記

- 83.33333 \dots

解答ステップ

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

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{- 8}^{2} x^{2} d x = \frac{520}{3}

\int_{- 8}^{2} 3 x d x = - 90

= - \frac{520}{3} - (- 90)

簡素化

- \frac{520}{3} - (- 90) : - \frac{250}{3}

= - \frac{250}{3}