de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to 2 of x*3^x

Lösung

\int_{0}^{2} x \cdot 3^{x} d x

Lösung

\frac{18 ln ( 3 ) - 8}{ln ^{2} ( 3 )}

+1

Dezimale

9.75602 \dots

Schritte zur Lösung

\int_{0}^{2} x \cdot 3^{x} d x

Wende die partielle Integration an

= [\frac{3 ^{x} x}{ln ( 3 )} - \int \frac{3 ^{x}}{ln ( 3 )} d x]_{0}^{2}

\int \frac{3 ^{x}}{ln ( 3 )} d x = \frac{3 ^{x}}{ln ^{2} ( 3 )}

= [\frac{3 ^{x} x}{ln ( 3 )} - \frac{3 ^{x}}{ln ^{2} ( 3 )}]_{0}^{2}

Berechne die Grenzen:

\frac{18 ln ( 3 ) - 8}{ln ^{2} ( 3 )}

= \frac{18 ln ( 3 ) - 8}{ln ^{2} ( 3 )}

Graph

Beliebte Beispiele

integral of cot^3(x)*csc^2(x)

\int cot^{3} (x) \cdot csc^{2} (x) d x

integral of 4x^3+x^2

\int 4 x^{3} + x^{2} d x

integral of x^3sqrt(2x+1)

\int x^{3} 2 x + 1 d x

derivative of sin(x+cos(x)+tan(x))

\frac{d}{d x} (sin (x) + cos (x) + tan (x))

d/(dy)(ln(sqrt(xy)))

\frac{d}{d y} (ln (x y))