integral of x^2+3x-2

Lösung

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

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

Schritte zur Lösung

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

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

d er i v a t i v e \frac{π t}{2}

h \to \frac{1}{2} lim (\frac{4 h ^{2} + 4 h - 3}{2 h - 1})

\frac{\partial}{\partial x} (x^{\frac{3}{4}} y^{3})

\frac{d}{d x} ((x^{4} + x - 7) (2 x^{3} + 1))

x \to 0 - lim (x^{2} - 2 ln (x))