de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of ((x+1)/(x^3))

Lösung

\int (\frac{x + 1}{x ^{3}}) d x

Lösung

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

Schritte zur Lösung

\int \frac{x + 1}{x ^{3}} d x

Multipliziere aus

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

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (-4)/x-4/(x^2)

\int \frac{- 4}{x} - \frac{4}{x ^{2}} d x

integral of sqrt(x)(1+1/(\sqrt[3]{x)})

\int x (1 + \frac{1}{3 x}) d x

integral of cos(x)sin(x)e^{sin(x)}

\int cos (x) sin (x) e^{s i n (x)} d x

integral of 1/(1+\sqrt[4]{x)}

\int \frac{1}{1 + 4 x} d x

integral of 1/(x^{7/4)}

\int \frac{1}{x ^{\frac{7}{4}}} d x