de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 1/(-20sqrt(x)-20x)

Lösung

\int \frac{1}{- 20 x - 20 x} d x

Lösung

- \frac{1}{10} ln x + 1 + C

Schritte zur Lösung

\int \frac{1}{- 20 x - 20 x} d x

Wende U-Substitution an

= \int - \frac{1}{10 ( u + 1 )} d u

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \frac{1}{10} \cdot \int \frac{1}{u + 1} d u

Wende U-Substitution an

= - \frac{1}{10} \cdot \int \frac{1}{v} d v

Nutze das gemeinsame Integral :

\int \frac{1}{v} d v = ln (∣ v ∣)

= - \frac{1}{10} ln ∣ v ∣

Ersetze zurück

= - \frac{1}{10} ln x + 1

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{10} ln x + 1 + C

Graph

Beliebte Beispiele

xy^'+(1+2x^2)y=x^3e^{-x^2}

x y^{^{'}} + (1 + 2 x^{2}) y = x^{3} e^{- x^{2}}

derivative of sec(7x)

\frac{d}{d x} (sec (7 x))

derivative of 2x(x+1^2)

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

limit as x approaches 3+of x/(3x-x^3)

x \to 3 + lim (\frac{x}{3 x - x ^{3}})

derivative of (sin(x)^2)

\frac{d}{d x} ((sin (x))^{2})