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Beliebt Rechnen >

integral of (2e^x+sin(x)-cos(x))

Lösung

\int (2 e^{x} + sin (x) - cos (x)) d x

Lösung

2 e^{x} - cos (x) - sin (x) + C

Schritte zur Lösung

\int 2 e^{x} + sin (x) - cos (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 e^{x} d x + \int sin (x) d x - \int cos (x) d x

\int 2 e^{x} d x = 2 e^{x}

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

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

= 2 e^{x} - cos (x) - sin (x)

Füge eine Konstante zur Lösung hinzu

= 2 e^{x} - cos (x) - sin (x) + C

Graph

Beliebte Beispiele

integral of 1/(x(x^6+8))

\int \frac{1}{x ( x ^{6} + 8 )} d x

integral of x/(2+4x^2)

\int \frac{x}{2 + 4 x ^{2}} d x

integral of r/(sqrt(r^2-x^2))

\int \frac{r}{r ^{2} - x ^{2}} d x

integral of 3cos^4(x)sin(x)

\int 3 cos^{4} (x) sin (x) d x

integral of e/(x^2)

\int \frac{e}{x ^{2}} d x