de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dr)/(dt)=(sec^2(t))/(tan(t)+1)

Lösung

\frac{d r}{d t} = \frac{sec ^{2} ( t )}{tan ( t ) + 1}

Lösung

r = ln (tan (t) + 1) + c_{1}

Schritte zur Lösung

\frac{d r}{d t} = \frac{sec ^{2} ( t )}{tan ( t ) + 1}

Ersetze

\frac{d r}{d t}

mit

r^{'} (t)

r^{^{'}} (t) = \frac{sec ^{2} ( t )}{tan ( t ) + 1}

Wenn

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

dann

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

r = \int \frac{sec ^{2} ( t )}{tan ( t ) + 1} d t

\int \frac{sec ^{2} ( t )}{tan ( t ) + 1} d t = ln (tan (t) + 1) + c_{1}

r = ln (tan (t) + 1) + c_{1}

Graph

Beliebte Beispiele

integral of (9/x+6/(x^4))

\int (\frac{9}{x} + \frac{6}{x ^{4}}) d x

(\frac{1}{x - 2})^{^{'}}

derivative of y^3+xy^2+y+xcos(3x-2)

\frac{d}{d x} (y^{3} + x y^{2} + y + x cos (3 x) - 2)

derivative of ((x^2-4)/(x-2))

\frac{d}{d x} (\frac{( x ^{2} - 4 )}{x - 2})

derivative (1+sqrt(X))/(1-sqrt(X))

d er i v a t i v e \frac{1 + X}{1 - X}