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

Lösung

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

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

Schritte zur Lösung

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

\int 5 d x = 5 x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

\frac{d}{d x} (\frac{1}{5 - x})

t an g e n t f (x) = e^{- 2 x}, (0, 1)

y^{^{''}} - 2 y^{^{'}} + 10 y = e^{- x}

d er i v a t i v e e^{- x + 1} - e^{- x + 1} \cdot x

\frac{\partial}{\partial x} (y \cdot cos (x - y))