erweitern-2e^{-n^2pi^2}-(e^{-t(-pi^2n^2+1)}-1)/(-pi^2n^2+1)

Lösung

erweitern

- 2 \cdot e^{- n^{2} \cdot π^{2}} - \frac{e ^{- t (- π^{2} n^{2} + 1)} - 1}{- π ^{2} n ^{2} + 1}

- 2 e^{- π^{2} n^{2}} - \frac{e ^{π^{2} n^{2} t - t} - 1}{- π ^{2} n ^{2} + 1}

Schritte zur Lösung

- 2 e^{- n^{2} π^{2}} - \frac{e ^{- t (- π^{2} n^{2} + 1)} - 1}{- π ^{2} n ^{2} + 1}

Multipliziere aus

- t (- π^{2} n^{2} + 1) : π^{2} n^{2} t - t

= - 2 e^{- π^{2} n^{2}} - \frac{e ^{π^{2} n^{2} t - t} - 1}{- π ^{2} n ^{2} + 1}

\frac{\partial}{\partial t} ((x) (2 t^{3} - 6 t^{2}))

e x p an d \frac{1}{3 ( x - 1 )}

e x p an d \frac{x ^{3} - 6 x ^{2} + 4 x + 8}{( x - 3 ) ^{4}}

e x p an d (1 + 2 sin (2 t)) \cdot (2 cos (t))

e x p an d \frac{( 6 x ^{2} - 16 )}{( x + 1 ) ( 2 x - 3 )}