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Beliebt Rechnen >

integral of (cos(x)+5^x)

Lösung

\int (cos (x) + 5^{x}) d x

Lösung

sin (x) + \frac{5 ^{x}}{ln ( 5 )} + C

Schritte zur Lösung

\int cos (x) + 5^{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 5^{x} d x

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

\int 5^{x} d x = \frac{5 ^{x}}{ln ( 5 )}

= sin (x) + \frac{5 ^{x}}{ln ( 5 )}

Füge eine Konstante zur Lösung hinzu

= sin (x) + \frac{5 ^{x}}{ln ( 5 )} + C

Graph

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\int_{1}^{e} \frac{( x ^{2} - 1 )}{x} d x