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Beliebt Rechnen >

(dy)/(dx)=(x+1)^3

Lösung

\frac{d y}{d x} = (x + 1)^{3}

Lösung

y = \frac{( x + 1 ) ^{4}}{4} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = (x + 1)^{3}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = (x + 1)^{3}

Wenn

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

dann

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

y = \int (x + 1)^{3} d x

\int (x + 1)^{3} d x = \frac{( x + 1 ) ^{4}}{4} + c_{1}

y = \frac{( x + 1 ) ^{4}}{4} + c_{1}

Graph

Beliebte Beispiele

integral of (1/(cos(4x)))^2

\int (\frac{1}{cos ( 4 x )})^{2} d x

y'=0.0012y(1000-y)

y^{'} = 0.0012 y (1000 - y)

derivative of xe^x+x

\frac{d}{d x} (x e^{x} + x)

integral of arctan(4t)

\int arctan (4 t) d t

sum from n=3 to infinity of 1/(ln(n))

n = 3 \sum \infty \frac{1}{ln ( n )}