integral of ((15)/(x^4)+8/(x^5))

Lösung

\int (\frac{15}{x ^{4}} + \frac{8}{x ^{5}}) d x

- \frac{5}{x ^{3}} - \frac{2}{x ^{4}} + C

Schritte zur Lösung

\int \frac{15}{x ^{4}} + \frac{8}{x ^{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 \frac{15}{x ^{4}} d x + \int \frac{8}{x ^{5}} d x

\int \frac{15}{x ^{4}} d x = - \frac{5}{x ^{3}}

\int \frac{8}{x ^{5}} d x = - \frac{2}{x ^{4}}

= - \frac{5}{x ^{3}} - \frac{2}{x ^{4}}

Füge eine Konstante zur Lösung hinzu

= - \frac{5}{x ^{3}} - \frac{2}{x ^{4}} + C

\frac{d}{d x} (\frac{sin ( 3 x )}{x})

6 y^{^{''}} + 8 y^{^{'}} + y = 0, y (- 2) = - 3, y^{^{'}} (- 2) = - 4

x \to 4 lim (- \frac{15}{x - 4})

\frac{\partial}{\partial x} (sin (π x))

\frac{d}{d x} (4 x^{5})