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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

\int 2 sin (x) d x = - 2 cos (x)

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 2sin(7x)

\int 2 sin (7 x) d x

integral of 3/(3+sqrt(x))

\int \frac{3}{3 + x} d x

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

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

integral of (4-sec^2(3x))/(tan(3x))

\int \frac{4 - sec ^{2} ( 3 x )}{tan ( 3 x )} d x

integral of (x^2-4)^4(2x-1)

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