de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of xe^{6x^2}

Lösung

\int x e^{6 x^{2}} d x

Lösung

\frac{1}{12} e^{6 x^{2}} + C

Schritte zur Lösung

\int x e^{6 x^{2}} d x

Wende U-Substitution an

= \int \frac{e ^{u}}{12} d u

Entferne die Konstante:

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

= \frac{1}{12} \cdot \int e^{u} d u

Nutze das gemeinsame Integral :

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

= \frac{1}{12} e^{u}

Setze in

u = 6 x^{2}

ein

= \frac{1}{12} e^{6 x^{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{12} e^{6 x^{2}} + C

Graph

Beliebte Beispiele

integral of 1/(sin(x)+tan(x))

\int \frac{1}{sin ( x ) + tan ( x )} d x

derivative of isin(x)

\frac{d}{d x} (i sin (x))

y^{^{''}} = (y^{^{'}})^{2}

derivative of ln(x^{1/3})

\frac{d}{d x} (ln (x^{\frac{1}{3}}))

derivative of cos(x(1+sin(x)^{10}))

\frac{d}{d x} (cos (x (1 + sin (x))^{10}))