integral of 2^x+4sinh(x)

Lösung

\int 2^{x} + 4 sinh (x) d x

\frac{2 ^{x}}{ln ( 2 )} + 4 cosh (x) + C

Schritte zur Lösung

\int 2^{x} + 4 sinh (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 2^{x} d x + \int 4 sinh (x) d x

\int 2^{x} d x = \frac{2 ^{x}}{ln ( 2 )}

\int 4 sinh (x) d x = 4 cosh (x)

= \frac{2 ^{x}}{ln ( 2 )} + 4 cosh (x)

Füge eine Konstante zur Lösung hinzu

= \frac{2 ^{x}}{ln ( 2 )} + 4 cosh (x) + C

d er i v a t i v e f (x) = \frac{2}{6 + 8 x}

\frac{\partial}{\partial u} (2 u)

\int_{- 2}^{2} 16 - 4 y^{2} d y

x \to 0 + lim (ln (x) - \frac{1}{x})

x^{2} \frac{d y}{d x} + y^{2} = 0