integral of x^3ex^4+5

Lösung

\int x^{3} e x^{4} + 5 d x

\frac{e x ^{8}}{8} + 5 x + C

Schritte zur Lösung

\int x^{3} e x^{4} + 5 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} e x^{4} d x + \int 5 d x

\int x^{3} e x^{4} d x = \frac{e x ^{8}}{8}

\int 5 d x = 5 x

= \frac{e x ^{8}}{8} + 5 x

Füge eine Konstante zur Lösung hinzu

= \frac{e x ^{8}}{8} + 5 x + C

\int \frac{sin ( 2 x )}{sin ^{2} ( x )} d x

\frac{\partial}{\partial t} (e^{π t})

n = 1 \sum \infty \frac{n + 1}{n + 2}

x \to 4 lim (\frac{x - 2}{x})

\frac{d}{d t} (s t)