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/(x^2)-1/(x^3)

Lösung

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

Lösung

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

Schritte zur Lösung

\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}})

Vereinfache

= - \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

d/(du)(x^2+x{y}(x,u)(x,u)^3)

\frac{d}{d u} (x^{2} + x y (x, u) (x, u)^{3})

integral of sqrt(t)ln(t)

\int t ln (t) d t

integral of x^{5/4}

\int x^{\frac{5}{4}} d x

t^2(d^2y)/(dt^2)+2t(dy)/(dt)-6y=0

t^{2} \frac{d ^{2} y}{d t ^{2}} + 2 t \frac{d y}{d t} - 6 y = 0

tangent (x+2)^2+(y-3)^2=37,(-8,4)

t an g e n t (x + 2)^{2} + (y - 3)^{2} = 37, (- 8, 4)