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

Lösung

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

Lösung

x + \frac{4}{x} + C

Schritte zur Lösung

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

Multipliziere aus

\frac{x ^{2} - 4}{x ^{2}} : 1 - \frac{4}{x ^{2}}

= \int 1 - \frac{4}{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 1 d x - \int \frac{4}{x ^{2}} d x

\int 1 d x = x

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

= x - (- \frac{4}{x})

Vereinfache

= x + \frac{4}{x}

Füge eine Konstante zur Lösung hinzu

= x + \frac{4}{x} + C

Graph

Beliebte Beispiele

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

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

integral of e^x(3+3e^x)^4

\int e^{x} (3 + 3 e^{x})^{4} d x

integral of (5-4x)/(sqrt(x^2-3x+2))

\int \frac{5 - 4 x}{x ^{2} - 3 x + 2} d x

integral of (4x)/(5(6x^2-7)^{2/3)}

\int \frac{4 x}{5 ( 6 x ^{2} - 7 ) ^{\frac{2}{3}}} d x

integral of sqrt(6-2x)

\int 6 - 2 x d x