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^3+6x+1)

Lösung

\int (x^{3} + 6 x + 1) d x

Lösung

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

Schritte zur Lösung

\int x^{3} + 6 x + 1 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 x^{3} d x + \int 6 x d x + \int 1 d x

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

\int 6 x d x = 3 x^{2}

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 3/(sin(x))

\int \frac{3}{sin ( x )} d x

integral of x/(9x^2+4)

\int \frac{x}{9 x ^{2} + 4} d x

integral of (-6x^2+3x+5)/(x^3-x)

\int \frac{- 6 x ^{2} + 3 x + 5}{x ^{3} - x} d x

integral of (cos(x))/((1+cos(x)))

\int \frac{cos ( x )}{( 1 + cos ( x ) )} d x

integral of sqrt(x)(2+x)

\int x (2 + x) d x