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Beliebt Rechnen >

(dy)/(dx)=5x^4-sec^2(x)

Lösung

\frac{d y}{d x} = 5 x^{4} - sec^{2} (x)

Lösung

y = x^{5} - tan (x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 5 x^{4} - sec^{2} (x)

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 5 x^{4} - sec^{2} (x)

Wenn

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

dann

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

y = \int 5 x^{4} - sec^{2} (x) d x

\int 5 x^{4} - sec^{2} (x) d x = x^{5} - tan (x) + c_{1}

y = x^{5} - tan (x) + c_{1}

Graph

Beliebte Beispiele

integral of (8x+7)*ln(x)

\int (8 x + 7) \cdot ln (x) d x

(\partial)/(\partial x)(2y^2-2xy+7x-5)

\frac{\partial}{\partial x} (2 y^{2} - 2 x y + 7 x - 5)

integral of (x*sec^2(x))

\int (x \cdot sec^{2} (x)) d x

integral of x^7+7x+7/x+7

\int x^{7} + 7 x + \frac{7}{x} + 7 d x

integral of e^{x^3+5}x^2

\int e^{x^{3} + 5} x^{2} d x