de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 10x^4+20x+8

Lösung

\int 10 x^{4} + 20 x + 8 d x

Lösung

2 x^{5} + 10 x^{2} + 8 x + C

Schritte zur Lösung

\int 10 x^{4} + 20 x + 8 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 10 x^{4} d x + \int 20 x d x + \int 8 d x

\int 10 x^{4} d x = 2 x^{5}

\int 20 x d x = 10 x^{2}

\int 8 d x = 8 x

= 2 x^{5} + 10 x^{2} + 8 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{5} + 10 x^{2} + 8 x + C

Graph

Beliebte Beispiele

limit as h approaches 0 of ((1+h)^4-1)/h

h \to 0 lim (\frac{( 1 + h ) ^{4} - 1}{h})

derivative of log_{e}(2x)

\frac{d}{d x} (lo g_{e} (2 x))

integral of-3/(x^2)+11-4^x

\int - \frac{3}{x ^{2}} + 11 - 4^{x} d x

t^2(dx)/(dt)= 1/(x^2),x(4)=9

t^{2} \frac{d x}{d t} = \frac{1}{x ^{2}}, x (4) = 9

derivative of 3x^2+6x+cos(x)

\frac{d}{d x} (3 x^{2} + 6 x + cos (x))