de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of-3x^8+4/(x-7)

Lösung

\int - 3 x^{8} + \frac{4}{x - 7} d x

Lösung

- \frac{x ^{9}}{3} + 4 ln ∣ x - 7 ∣ + C

Schritte zur Lösung

\int - 3 x^{8} + \frac{4}{x - 7} 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 3 x^{8} d x + \int \frac{4}{x - 7} d x

\int 3 x^{8} d x = \frac{x ^{9}}{3}

\int \frac{4}{x - 7} d x = 4 ln ∣ x - 7 ∣

= - \frac{x ^{9}}{3} + 4 ln ∣ x - 7 ∣

Füge eine Konstante zur Lösung hinzu

= - \frac{x ^{9}}{3} + 4 ln ∣ x - 7 ∣ + C

Graph

Beliebte Beispiele

integral of cos(x)(2+sin(x))^3

\int cos (x) (2 + sin (x))^{3} d x

integral of e^{-2at}

\int e^{- 2 a t} d t

integral of (tan(x))/(cos(2x))

\int \frac{tan ( x )}{cos ( 2 x )} d x

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

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

integral of e^{-3x}x^2

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