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 (x/2-2/x)

解

\int_{1}^{2} (\frac{x}{2} - \frac{2}{x}) d x

解

\frac{3}{4} - 2 ln (2)

+1

十進法表記

- 0.63629 \dots

解答ステップ

\int_{1}^{2} \frac{x}{2} - \frac{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_{1}^{2} \frac{x}{2} d x - \int_{1}^{2} \frac{2}{x} d x

\int_{1}^{2} \frac{x}{2} d x = \frac{3}{4}

\int_{1}^{2} \frac{2}{x} d x = 2 ln (2)

= \frac{3}{4} - 2 ln (2)

グラフ

人気の例

inverselaplace (5e^{-s})/((s^2-2s+1))

in v erse l a pl a ce \frac{5 e ^{- s}}{( s ^{2} - 2 s + 1 )}

integral of (10x)/(4x^2+1)

\int \frac{10 x}{4 x ^{2} + 1} d x

(\partial)/(\partial x)(x^8y^6+3x^7y)

\frac{\partial}{\partial x} (x^{8} y^{6} + 3 x^{7} y)

integral of (x^2sqrt(x-5))

\int (x^{2} x - 5) d x

limit as x approaches 0+of (7x)/(sin(x))

x \to 0 + lim (\frac{7 x}{sin ( x )})