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 0 to 2 of (2x^2-x^3)

解

\int_{0}^{2} (2 x^{2} - x^{3}) d x

解

\frac{4}{3}

+1

十進法表記

1.33333 \dots

解答ステップ

\int_{0}^{2} 2 x^{2} - x^{3} 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_{0}^{2} 2 x^{2} d x - \int_{0}^{2} x^{3} d x

\int_{0}^{2} 2 x^{2} d x = \frac{16}{3}

\int_{0}^{2} x^{3} d x = 4

= \frac{16}{3} - 4

簡素化

\frac{16}{3} - 4 : \frac{4}{3}

= \frac{4}{3}

グラフ

人気の例

integral from-4 to 1 of |2x|

\int_{- 4}^{1} ∣ 2 x ∣ d x

integral from 0 to pi/2 of 2sin(2θ)

\int_{0}^{\frac{π}{2}} 2 sin (2 θ) d θ

integral from 1 to 3 of 3x^2-12

\int_{1}^{3} 3 x^{2} - 12 d x

integral from 1 to 2 of e^{-nx^2}

\int_{1}^{2} e^{- n x^{2}} d x

integral from 0 to pi of (sin(x))/pi

\int_{0}^{π} \frac{sin ( x )}{π} d x