integral of x^3+sqrt(x)

Lösung

\int x^{3} + x d x

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

Schritte zur Lösung

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

\int x^{3} d x = \frac{x ^{4}}{4}

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

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

Füge eine Konstante zur Lösung hinzu

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

in v erse l a pl a ce \frac{1}{s} \cdot (e^{- 2 \cdot s \cdot π} - 1)

\frac{d P}{d t} = (P - P^{2})

\int_{4}^{2} (6 x^{2} - 2 x + 1) d x

\frac{\partial}{\partial x} (- 3 y (- 2 x - y - 9))

l a pl a ce t r an s f or m (2 t - 1)^{2}