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Beliebt Rechnen >

inverselaplace arctan(s)

Lösung

inverse laplace transformation

arctan (s)

Lösung

- \frac{sin ( t )}{t}

Schritte zur Lösung

L^{- 1} {arctan (s)}

Verwende inverse Laplace-Transformationstabelle:

L^{- 1} {F (s)} = - \frac{1}{t} L^{- 1} {F^{'} (s)}

L^{- 1} {arctan (s)} = - \frac{1}{t} L^{- 1} {(arctan (s))^{'}}

= - \frac{1}{t} L^{- 1} {(arctan (s))^{^{'}}}

(arctan (s))^{'} = \frac{1}{s ^{2} + 1}

= - \frac{1}{t} L^{- 1} {\frac{1}{s ^{2} + 1}}

L^{- 1} {\frac{1}{s ^{2} + 1}} : sin (t)

= - \frac{1}{t} sin (t)

= - \frac{sin ( t )}{t}

Beliebte Beispiele

integral of e^{-x}x^2

\int e^{- x} x^{2} d x

derivative of 3ab^2x^4

\frac{d}{d x} (3 a b^{2} x^{4})

integral of 6*sin(2x)-3*cos(3x)

\int 6 \cdot sin (2 x) - 3 \cdot cos (3 x) d x

x \frac{d y}{d x} = y

xdy=y+x(cos(y/x))^2dx

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