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

解

\int_{2}^{3} (x^{3} + x) d x

\frac{75}{4}

十進法表記

18.75

解答ステップ

\int_{2}^{3} x^{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_{2}^{3} x^{3} d x + \int_{2}^{3} x d x

\int_{2}^{3} x^{3} d x = \frac{65}{4}

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

= \frac{65}{4} + \frac{5}{2}

簡素化

\frac{65}{4} + \frac{5}{2} : \frac{75}{4}

= \frac{75}{4}