integral of sin(x)-cos(x)

Lösung

\int sin (x) - cos (x) d x

- cos (x) - sin (x) + C

Schritte zur Lösung

\int sin (x) - cos (x) d x

Wende die Summenregel an:

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

= \int sin (x) d x - \int cos (x) d x

\int sin (x) d x = - cos (x)

\int cos (x) d x = sin (x)

= - cos (x) - sin (x)

Füge eine Konstante zur Lösung hinzu

= - cos (x) - sin (x) + C

n = 1 \sum \infty (- 3)^{n}

\frac{d y}{d x} = \frac{x - 3}{y + 5}

n = 1 \sum \infty 3 \cdot (\frac{1}{5})^{n}

n \to \infty lim (n^{2} e^{- 3 n})

in v erse l a pl a ce \frac{( s - 3 )}{( s ^{2} + 4 s + 13 )}