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Beliebt Rechnen >

integral of (e^{bx}*x)

Lösung

\int (e^{b x} \cdot x) d x

Lösung

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

Schritte zur Lösung

\int e^{b x} x d x

Wende die partielle Integration an

= e^{b x} \frac{1}{b} x - \int e^{b x} \frac{1}{b} d x

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

= e^{b x} \frac{1}{b} x - e^{b x} \frac{1}{b ^{2}}

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative f(x)=(x-6)(3x+5)

d er i v a t i v e f (x) = (x - 6) (3 x + 5)

(\partial)/(\partial x)(sin(3x)cos(3y))

\frac{\partial}{\partial x} (sin (3 x) cos (3 y))

integral of cos(x/2)

\int cos (\frac{x}{2}) d x

integral of 4/(x^3-4x^2+8x)

\int \frac{4}{x ^{3} - 4 x ^{2} + 8 x} d x

derivative of x^2csc(5x)

\frac{d}{d x} (x^{2} csc (5 x))