ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

integral from 2 to 4 of x^2-2x

解

\int_{2}^{4} x^{2} - 2 x d x

解

\frac{20}{3}

+1

十進法表記

6.66666 \dots

解答ステップ

\int_{2}^{4} x^{2} - 2 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}^{4} x^{2} d x - \int_{2}^{4} 2 x d x

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 2 x d x = 12

= \frac{56}{3} - 12

簡素化

\frac{56}{3} - 12 : \frac{20}{3}

= \frac{20}{3}

グラフ

人気の例

integral from 0 to 4 of x^2+4x

\int_{0}^{4} x^{2} + 4 x d x

integral from-2 to 3 of 3/(4x^2)

\int_{- 2}^{3} \frac{3}{4 x ^{2}} d x

integral from 0 to 2pi of xcos(nx)

\int_{0}^{2 π} x cos (n x) d x

integral from 4 to 6 of (x^2+2x-3)

\int_{4}^{6} (x^{2} + 2 x - 3) d x

integral from 0 to 1/5 of yarctan(5y)

\int_{0}^{\frac{1}{5}} y arctan (5 y) d y