integral from-2 to 2 of (-x^2-1)

解

\int_{- 2}^{2} (- x^{2} - 1) d x

- \frac{28}{3}

十進法表記

- 9.33333 \dots

解答ステップ

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

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

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

= - \frac{16}{3} - 4

簡素化

- \frac{16}{3} - 4 : - \frac{28}{3}

= - \frac{28}{3}