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 of 2/(sqrt(x))+(sqrt(x))/2

解

\int \frac{2}{x} + \frac{x}{2} d x

解

4 x + \frac{1}{3} x^{\frac{3}{2}} + C

解答ステップ

\int \frac{2}{x} + \frac{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 \frac{2}{x} d x + \int \frac{x}{2} d x

\int \frac{2}{x} d x = 4 x

\int \frac{x}{2} d x = \frac{1}{3} x^{\frac{3}{2}}

= 4 x + \frac{1}{3} x^{\frac{3}{2}}

定数を解答に追加する

= 4 x + \frac{1}{3} x^{\frac{3}{2}} + C

グラフ

人気の例

limit as x approaches pi/2 of (csc(4x))/(csc(2x))

x \to \frac{π}{2} lim (\frac{csc ( 4 x )}{csc ( 2 x )})

tangent f(x)=(2x-1)/(x+5),\at x=1

t an g e n t f (x) = \frac{2 x - 1}{x + 5}, at x = 1

limit as x approaches-infinity of (4x^6)/(x^3-8)

x \to - \infty lim (\frac{4 x ^{6}}{x ^{3} - 8})

limit as θ approaches pi/3 of (tan(θ))/(sin^2(θ))

θ \to \frac{π}{3} lim (\frac{tan ( θ )}{sin ^{2} ( θ )})

integral of (x^2)/((x+1)^{50)}

\int \frac{x ^{2}}{( x + 1 ) ^{50}} d x