integral of 9x^2-8x

Lösung

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

3 x^{3} - 4 x^{2} + C

Schritte zur Lösung

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

\int 9 x^{2} d x = 3 x^{3}

\int 8 x d x = 4 x^{2}

= 3 x^{3} - 4 x^{2}

Füge eine Konstante zur Lösung hinzu

= 3 x^{3} - 4 x^{2} + C

\int \frac{3}{1 + 9 x ^{2}} d x

\int \frac{y ^{2} - 4}{y} d y

\frac{d}{d x} (\frac{x ^{5} - 8 x ^{3} + x + 6}{x})

x \to 0 lim (2 x^{3} - 4 x + 2)

\int (\frac{2}{x} + 3 sin (x) - 4 e^{x}) d x