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 1 to 2 of 10-5x

解

\int_{1}^{2} 10 - 5 x d x

解

\frac{5}{2}

+1

十進法表記

2.5

解答ステップ

\int_{1}^{2} 10 - 5 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_{1}^{2} 10 d x - \int_{1}^{2} 5 x d x

\int_{1}^{2} 10 d x = 10

\int_{1}^{2} 5 x d x = \frac{15}{2}

= 10 - \frac{15}{2}

簡素化

10 - \frac{15}{2} : \frac{5}{2}

= \frac{5}{2}

グラフ

人気の例

integral from 0 to 4 of (5x-x^2-x)

\int_{0}^{4} (5 x - x^{2} - x) d x

integral from 0 to pi of (6e^x+5sin(x))

\int_{0}^{π} (6 e^{x} + 5 sin (x)) d x

integral from 0 to 5 of (x^2-6)

\int_{0}^{5} (x^{2} - 6) d x

integral from 0 to 3 of 5/(x+4)

\int_{0}^{3} \frac{5}{x + 4} d x

integral from 1 to 4 of (1+x)/(sqrt(x))

\int_{1}^{4} \frac{1 + x}{x} d x