de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (cos(x)+4^x)

Lösung

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

Lösung

sin (x) + \frac{2 ^{2 x - 1}}{ln ( 2 )} + C

Schritte zur Lösung

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

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

\int 4^{x} d x = \frac{2 ^{2 x - 1}}{ln ( 2 )}

= sin (x) + \frac{2 ^{2 x - 1}}{ln ( 2 )}

Füge eine Konstante zur Lösung hinzu

= sin (x) + \frac{2 ^{2 x - 1}}{ln ( 2 )} + C

Graph

Beliebte Beispiele

integral of (x^{-1})/(-1)

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

integral of 8/((x^2-4))

\int \frac{8}{( x ^{2} - 4 )} d x

integral of 1/((y))

\int \frac{1}{( y )} d y

integral of 0.09e^{0.04x}

\int 0.09 e^{0.04 x} d x

integral of ((x^3))/((x^2+4)^{(1/2))}

\int \frac{( x ^{3} )}{( x ^{2} + 4 ) ^{(\frac{1}{2})}} d x