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Beliebt Rechnen >

integral of (x+e^{2x})

Lösung

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

Lösung

\frac{x ^{2}}{2} + \frac{1}{2} e^{2 x} + C

Schritte zur Lösung

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

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

\int e^{2 x} d x = \frac{1}{2} e^{2 x}

= \frac{x ^{2}}{2} + \frac{1}{2} e^{2 x}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{2}}{2} + \frac{1}{2} e^{2 x} + C

Graph

Beliebte Beispiele

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

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

integral of 4ln(2x+1)

\int 4 ln (2 x + 1) d x

derivative of ((cos(x)/(1+sin(x)))^2)

\frac{d}{d x} ((\frac{cos ( x )}{1 + sin ( x )})^{2})

integral of 3/2 x^3

\int \frac{3}{2} x^{3} d x

fläche 3x^2ln(x),12ln(x)

a re a 3 x^{2} ln (x), 12 ln (x)