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+4x-5)

Lösung

\int (3 x^{2} + 4 x - 5) d x

Lösung

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

Schritte zur Lösung

\int 3 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 3 x^{2} d x + \int 4 x d x - \int 5 d x

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

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

\int 5 d x = 5 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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

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

integral of 12x-3

\int 12 x - 3 d x

integral of (sqrt(x+2))

\int (x + 2) d x

integral of-1/(sec(x))

\int - \frac{1}{sec ( x )} d x

integral of 3tan(x)sec^7(x)

\int 3 tan (x) sec^{7} (x) d x