laplacetransform sin(t-((2*pi))/3)

Lösung

laplace transformation

sin (t - \frac{( 2 \cdot π )}{3})

\frac{- 3 s - 1}{2 ( s ^{2} + 1 )}

Schritte zur Lösung

L {sin (t - \frac{( 2 π )}{3})}

Wende Laplace-Transformationstabelle an:

L {sin (a t + b)} = \frac{s \cdot sin ( b ) + a \cdot cos ( b )}{s ^{2} + a ^{2}}

L {sin (t - \frac{2 π}{3})} = \frac{s sin ( - \frac{2 π}{3} ) + 1 \cdot cos ( - \frac{2 π}{3} )}{s ^{2} + 1 ^{2}}

= \frac{s sin ( - \frac{2 π}{3} ) + 1 \cdot cos ( - \frac{2 π}{3} )}{s ^{2} + 1 ^{2}}

= \frac{- 3 s - 1}{2 ( s ^{2} + 1 )}

d er i v a t i v e (- 3 x + 2)^{4} (- 2 x + 3)^{3}

x \to 0 lim (\frac{2 tan ( \frac{x}{2} )}{x})

\int tan^{5} (6 x) sec^{2} (6 x) d x

\frac{d}{d x} (\frac{1}{9 x ^{\frac{8}{9}}})

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