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Beliebt Rechnen >

(dy)/(dx)=sin^2(x)

Lösung

\frac{d y}{d x} = sin^{2} (x)

Lösung

y = \frac{1}{2} (x - \frac{1}{2} sin (2 x)) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = sin^{2} (x)

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = sin^{2} (x)

Wenn

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

dann

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

y = \int sin^{2} (x) d x

\int sin^{2} (x) d x = \frac{1}{2} (x - \frac{1}{2} sin (2 x)) + c_{1}

y = \frac{1}{2} (x - \frac{1}{2} sin (2 x)) + c_{1}

Graph

Beliebte Beispiele

integral from 1 to 2 of x/((x+1)^2)

\int_{1}^{2} \frac{x}{( x + 1 ) ^{2}} d x

derivative of 3/((x+2^2))

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

y^{^{'}} = e^{4 x} - 3 x

derivative of 2cot(x/2)

\frac{d}{d x} (2 cot (\frac{x}{2}))

y^{^{'}} = x^{2} - y