integral from 1 to 2 of x^2-1/2

解

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

\frac{11}{6}

十進法表記

1.83333 \dots

解答ステップ

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

\int_{1}^{2} \frac{1}{2} d x = \frac{1}{2}

= \frac{7}{3} - \frac{1}{2}

簡素化

\frac{7}{3} - \frac{1}{2} : \frac{11}{6}

= \frac{11}{6}