de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (24x^5-12x^3-x+2)

Lösung

\int (24 x^{5} - 12 x^{3} - x + 2) d x

Lösung

4 x^{6} - 3 x^{4} - \frac{x ^{2}}{2} + 2 x + C

Schritte zur Lösung

\int 24 x^{5} - 12 x^{3} - 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 24 x^{5} d x - \int 12 x^{3} d x - \int x d x + \int 2 d x

\int 24 x^{5} d x = 4 x^{6}

\int 12 x^{3} d x = 3 x^{4}

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

\int 2 d x = 2 x

= 4 x^{6} - 3 x^{4} - \frac{x ^{2}}{2} + 2 x

Füge eine Konstante zur Lösung hinzu

= 4 x^{6} - 3 x^{4} - \frac{x ^{2}}{2} + 2 x + C

Graph

Beliebte Beispiele

integral of (3x^2+5)/(x^3+5x+2)

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

integral of x/(ln(x^2))

\int \frac{x}{ln ( x ^{2} )} d x

integral of 9/((x-3)^2)

\int \frac{9}{( x - 3 ) ^{2}} d x

integral of (x^5)/((x^6+1)^2)

\int \frac{x ^{5}}{( x ^{6} + 1 ) ^{2}} d x

integral of (5x^2+3x+25)/((x^2+9)(2x-1))

\int \frac{5 x ^{2} + 3 x + 25}{( x ^{2} + 9 ) ( 2 x - 1 )} d x