de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (21x^2-12x-5)

Lösung

\int (21 x^{2} - 12 x - 5) d x

Lösung

7 x^{3} - 6 x^{2} - 5 x + C

Schritte zur Lösung

\int 21 x^{2} - 12 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 21 x^{2} d x - \int 12 x d x - \int 5 d x

\int 21 x^{2} d x = 7 x^{3}

\int 12 x d x = 6 x^{2}

\int 5 d x = 5 x

= 7 x^{3} - 6 x^{2} - 5 x

Füge eine Konstante zur Lösung hinzu

= 7 x^{3} - 6 x^{2} - 5 x + C

Graph

Beliebte Beispiele

integral of (x^4+3)(3+2x)

\int (x^{4} + 3) (3 + 2 x) d x

integral of y^{10}

\int y^{10} d y

integral of sqrt(8-2x^2)

\int 8 - 2 x^{2} d x

integral of (e^x)/((e^x+1)^6)

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

integral of 1+1/u+1/(u^2)

\int 1 + \frac{1}{u} + \frac{1}{u ^{2}} d u