integral of 5e^x-3cosh(x)

Lösung

\int 5 e^{x} - 3 cosh (x) d x

5 e^{x} - 3 sinh (x) + C

Schritte zur Lösung

\int 5 e^{x} - 3 cosh (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 5 e^{x} d x - \int 3 cosh (x) d x

\int 5 e^{x} d x = 5 e^{x}

\int 3 cosh (x) d x = 3 sinh (x)

= 5 e^{x} - 3 sinh (x)

Füge eine Konstante zur Lösung hinzu

= 5 e^{x} - 3 sinh (x) + C

\int - \frac{2 x}{x ^{2} + 1} d x

\int - x^{3} + 5 x^{2} - 4 x d x

x \to \infty lim (\frac{3 8 x ^{9} + x ^{6} + 2}{4 x ^{3} + x ^{2} - 1})

\int cos (x) (6 + 4 sin^{2} (x)) d x

x \to 2 lim (3 - x^{2})