integral from 2 to 6 of 4+2x^2

解

\int_{2}^{6} 4 + 2 x^{2} d x

\frac{464}{3}

十進法表記

154.66666 \dots

解答ステップ

\int_{2}^{6} 4 + 2 x^{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_{2}^{6} 4 d x + \int_{2}^{6} 2 x^{2} d x

\int_{2}^{6} 4 d x = 16

\int_{2}^{6} 2 x^{2} d x = \frac{416}{3}

= 16 + \frac{416}{3}

簡素化

16 + \frac{416}{3} : \frac{464}{3}

= \frac{464}{3}