integral from 5 to 6 of x^2+2x-16

解

\int_{5}^{6} x^{2} + 2 x - 16 d x

\frac{76}{3}

十進法表記

25.33333 \dots

解答ステップ

\int_{5}^{6} x^{2} + 2 x - 16 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_{5}^{6} x^{2} d x + \int_{5}^{6} 2 x d x - \int_{5}^{6} 16 d x

\int_{5}^{6} x^{2} d x = \frac{91}{3}

\int_{5}^{6} 2 x d x = 11

\int_{5}^{6} 16 d x = 16

= \frac{91}{3} + 11 - 16

簡素化

\frac{91}{3} + 11 - 16 : \frac{76}{3}

= \frac{76}{3}