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Beliebt Rechnen >

(dy)/(dx)=8x^7-2sec^2(x)

Lösung

\frac{d y}{d x} = 8 x^{7} - 2 sec^{2} (x)

Lösung

y = x^{8} - 2 tan (x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 8 x^{7} - 2 sec^{2} (x)

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 8 x^{7} - 2 sec^{2} (x)

Wenn

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

dann

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

y = \int 8 x^{7} - 2 sec^{2} (x) d x

\int 8 x^{7} - 2 sec^{2} (x) d x = x^{8} - 2 tan (x) + c_{1}

y = x^{8} - 2 tan (x) + c_{1}

Graph

Beliebte Beispiele

integral of ((x^2))/((x^3+1)^2)

\int \frac{( x ^{2} )}{( x ^{3} + 1 ) ^{2}} d x

y^{''}+2y^'+2y=sin(sqrt(2)t)

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (2 t)

integral of (sec(ln(x))tan(ln(x)))/x

\int \frac{sec ( ln ( x ) ) tan ( ln ( x ) )}{x} d x

(- 2 x)^{^{'}}

derivative f(x)=x^9

d er i v a t i v e f (x) = x^{9}