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^2-20x+2000

Lösung

\int - 3 x^{2} - 20 x + 2000 d x

Lösung

- x^{3} - 10 x^{2} + 2000 x + C

Schritte zur Lösung

\int - 3 x^{2} - 20 x + 2000 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 20 x d x + \int 2000 d x

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

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

\int 2000 d x = 2000 x

= - x^{3} - 10 x^{2} + 2000 x

Füge eine Konstante zur Lösung hinzu

= - x^{3} - 10 x^{2} + 2000 x + C

Graph

Beliebte Beispiele

(1+x^2)(dy)/(dx)-(4x^3y)/(1-x^2)=1

(1 + x^{2}) \frac{d y}{d x} - \frac{4 x ^{3} y}{1 - x ^{2}} = 1

integral of 3x^2+8x-9

\int 3 x^{2} + 8 x - 9 d x

(\partial)/(\partial x)(ln(t+2cx))

\frac{\partial}{\partial x} (ln (t + 2 c x))

derivative f(x)=ax^b+de^{-cx}

d er i v a t i v e f (x) = a x^{b} + d e^{- c x}

integral of (4^x-sec^2(x))

\int (4^{x} - sec^{2} (x)) d x