de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (2-x)/(x^3)

Lösung

\int \frac{2 - x}{x ^{3}} d x

Lösung

- \frac{1}{x ^{2}} + \frac{1}{x} + C

Schritte zur Lösung

\int \frac{2 - x}{x ^{3}} d x

Multipliziere aus

\frac{2 - x}{x ^{3}} : \frac{2}{x ^{3}} - \frac{1}{x ^{2}}

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

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

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

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

= - \frac{1}{x ^{2}} - (- \frac{1}{x})

Vereinfache

= - \frac{1}{x ^{2}} + \frac{1}{x}

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{x ^{2}} + \frac{1}{x} + C

Graph

Beliebte Beispiele

integral of (sec(x))/(cot(x))

\int \frac{sec ( x )}{cot ( x )} d x

integral of 1/(x^2-c^2)

\int \frac{1}{x ^{2} - c ^{2}} d x

integral of 3x^4-3x

\int 3 x^{4} - 3 x d x

integral of (sin(2x))/(cos^2(x)+1)

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

integral of 5/(2x+1)

\int \frac{5}{2 x + 1} d x