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Beliebt Rechnen >

integral of e^{8x+e^{8x}}

Lösung

\int e^{8 x + e^{8 x}} d x

Lösung

\frac{1}{8} e^{e^{8 x}} + C

Schritte zur Lösung

\int e^{8 x + e^{8 x}} d x

Wende U-Substitution an

= \int e^{u + e^{u}} \frac{1}{8} d u

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{8} \cdot \int e^{u + e^{u}} d u

Wende U-Substitution an

= \frac{1}{8} \cdot \int e^{v} d v

Nutze das gemeinsame Integral :

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

= \frac{1}{8} e^{v}

Ersetze zurück

= \frac{1}{8} e^{e^{8 x}}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{8} e^{e^{8 x}} + C

Graph

Beliebte Beispiele

derivative of x^x(ln(x+1))

\frac{d}{d x} (x^{x} (ln (x) + 1))

(\partial)/(\partial y)(sqrt((x+2)/(y+2)))

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derivative of x^3(x-8^2)

\frac{d}{d x} (x^{3} (x - 8)^{2})

derivative of 1/(x-y)

\frac{d}{d x} (\frac{1}{x - y})

(dy)/(dx)+1/x y=0

\frac{d y}{d x} + \frac{1}{x} y = 0