integral from-2 to 2 of 28-7x^2

解

\int_{- 2}^{2} 28 - 7 x^{2} d x

\frac{224}{3}

十進法表記

74.66666 \dots

解答ステップ

\int_{- 2}^{2} 28 - 7 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}^{2} 28 d x - \int_{- 2}^{2} 7 x^{2} d x

\int_{- 2}^{2} 28 d x = 112

\int_{- 2}^{2} 7 x^{2} d x = \frac{112}{3}

= 112 - \frac{112}{3}

簡素化

112 - \frac{112}{3} : \frac{224}{3}

= \frac{224}{3}