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^2-6x-7)

Lösung

\int (3 x^{2} - 6 x - 7) d x

Lösung

x^{3} - 3 x^{2} - 7 x + C

Schritte zur Lösung

\int 3 x^{2} - 6 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^{2} d x - \int 6 x d x - \int 7 d x

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

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

\int 7 d x = 7 x

= x^{3} - 3 x^{2} - 7 x

Füge eine Konstante zur Lösung hinzu

= x^{3} - 3 x^{2} - 7 x + C

Graph

Beliebte Beispiele

inverselaplace 1/((s^2-4s+5))

in v erse l a pl a ce \frac{1}{( s ^{2} - 4 s + 5 )}

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

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

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

d/(dy)((2x^2-xy+2y^2)/(x-y))

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

x^2+2y^2-2x-8y+6=0(0.3)

x^{2} + 2 y^{2} - 2 x - 8 y + 6 = 0 (0.3)