integral of (cos(x)+3^x)

Lösung

\int (cos (x) + 3^{x}) d x

sin (x) + \frac{3 ^{x}}{ln ( 3 )} + C

Schritte zur Lösung

\int cos (x) + 3^{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 cos (x) d x + \int 3^{x} d x

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

\int 3^{x} d x = \frac{3 ^{x}}{ln ( 3 )}

= sin (x) + \frac{3 ^{x}}{ln ( 3 )}

Füge eine Konstante zur Lösung hinzu

= sin (x) + \frac{3 ^{x}}{ln ( 3 )} + C

x \to 0 lim (\frac{( 2 - x ) ^{2} + 1}{x})

\int_{- \infty}^{\infty} 15 x e^{- x^{2}} d x

\frac{\partial}{\partial z} (e^{x} cos (y))

\frac{\partial}{\partial x} (x^{2} + 3 x y + y - 1)

t an g e n t f (x) = - 3 x^{3} - 2 x^{2} - 1