integral of x+12x^2

Lösung

\int x + 12 x^{2} d x

\frac{x ^{2}}{2} + 4 x^{3} + C

Schritte zur Lösung

\int x + 12 x^{2} 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 x d x + \int 12 x^{2} d x

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

\int 12 x^{2} d x = 4 x^{3}

= \frac{x ^{2}}{2} + 4 x^{3}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{2}}{2} + 4 x^{3} + C

f (x) = (x - 2)^{2} (x - 3)^{3}

\int \frac{x + 2}{x ^{2} + x} d x

im pl i c i t \frac{d y}{d x}, x y = x^{7} y + 72

x \to - \infty lim (ln (x - 2))

d er i v a t i v e y = (tan (\frac{1}{x}))^{s e c (\frac{1}{x})}