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^2-4x+5

Lösung

\int x^{2} - 4 x + 5 d x

Lösung

\frac{x ^{3}}{3} - 2 x^{2} + 5 x + C

Schritte zur Lösung

\int x^{2} - 4 x + 5 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^{2} d x - \int 4 x d x + \int 5 d x

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

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

\int 5 d x = 5 x

= \frac{x ^{3}}{3} - 2 x^{2} + 5 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} - 2 x^{2} + 5 x + C

Graph

Beliebte Beispiele

limit as x approaches 0-of x/(ln(x))

x \to 0 - lim (\frac{x}{ln ( x )})

integral of 1/(8x+5)

\int \frac{1}{8 x + 5} d x

derivative of ln({f}(x)*{f}(x)(sin(x)))

\frac{d}{d x} (ln (f (x)) \cdot f (x) (sin (x)))

integral of (-(2x)/(1+x^2))

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

integral of 4x+3/(sqrt(x))

\int 4 x + \frac{3}{x} d x