de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (7x^2+5x^{-2})

Lösung

\int (7 x^{2} + 5 x^{- 2}) d x

Lösung

\frac{7 x ^{3}}{3} - \frac{5}{x} + C

Schritte zur Lösung

\int 7 x^{2} + 5 x^{- 2} d x

5 x^{- 2} = \frac{5}{x ^{2}}

= \int 7 x^{2} + \frac{5}{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 7 x^{2} d x + \int \frac{5}{x ^{2}} d x

\int 7 x^{2} d x = \frac{7 x ^{3}}{3}

\int \frac{5}{x ^{2}} d x = - \frac{5}{x}

= \frac{7 x ^{3}}{3} - \frac{5}{x}

Füge eine Konstante zur Lösung hinzu

= \frac{7 x ^{3}}{3} - \frac{5}{x} + C

Graph

Beliebte Beispiele

integral of x^2(5x^3-2)^4

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

integral of 1/(sqrt(18-x^2))

\int \frac{1}{18 - x ^{2}} d x

integral of csc(z)

\int csc (z) d z

integral of 5^{x+3}

\int 5^{x + 3} d x

integral of 3x^2+8x+9

\int 3 x^{2} + 8 x + 9 d x