de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

1/(p-p^2)dp=dt

Lösung

\frac{1}{p - p ^{2}} d p = d t

Lösung

t = ln (p) - ln (p - 1) + c_{1}

Schritte zur Lösung

\frac{1}{p - p ^{2}} d p = d t

Lass

t

die abhängige Variable sein. Teile durch

d p

:

\frac{1}{p - p ^{2}} = \frac{d t}{d p}

Ersetze

\frac{d t}{d p}

mit

t^{'} (p)

\frac{1}{p - p ^{2}} = t^{^{'}} (p)

Isoliere

t^{'} (p) : t^{'} (p) = \frac{1}{p - p ^{2}}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

t = \int \frac{1}{p - p ^{2}} d p

\int \frac{1}{p - p ^{2}} d p = ln (p) - ln (p - 1) + c_{1}

t = ln (p) - ln (p - 1) + c_{1}

Graph

Beliebte Beispiele

fläche 5x-x^2,x,[0,4]

a re a 5 x - x^{2}, x, [0, 4]

(dy)/(dx)=(e^{2x})/(6y^5)

\frac{d y}{d x} = \frac{e ^{2 x}}{6 y ^{5}}

integral from 1 to 2 of 7r^2ln(r)

\int_{1}^{2} 7 r^{2} ln (r) d r

integral from 0 to pi of pisin^2(x)

\int_{0}^{π} π sin^{2} (x) d x

integral of x^2(x-9)^{12}

\int x^{2} (x - 9)^{12} d x