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Beliebt Rechnen >

integral of (3/(x^2)-2/(x^3))

Lösung

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

Lösung

- \frac{3}{x} + \frac{1}{x ^{2}} + C

Schritte zur Lösung

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

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

\int \frac{2}{x ^{3}} d x = - \frac{1}{x ^{2}}

= - \frac{3}{x} - (- \frac{1}{x ^{2}})

Vereinfache

= - \frac{3}{x} + \frac{1}{x ^{2}}

Füge eine Konstante zur Lösung hinzu

= - \frac{3}{x} + \frac{1}{x ^{2}} + C

Graph

Beliebte Beispiele

sum from n=1 to infinity of (n!)/(n*3^n)

n = 1 \sum \infty \frac{n !}{n \cdot 3 ^{n}}

fläche y=18sin(x),y=18cos(x)

a re a y = 18 sin (x), y = 18 cos (x)

fläche x^2-4x+3,-x^2+2x+3,4,0

a re a x^{2} - 4 x + 3, - x^{2} + 2 x + 3, 4, 0

t^2(dy)/(dt)-t=1+y+ty,y(1)=8

t^{2} \frac{d y}{d t} - t = 1 + y + t y, y (1) = 8

derivative y=(ln(6x))/(6x)

d er i v a t i v e y = \frac{ln ( 6 x )}{6 x}