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Beliebt Rechnen >

integral from 0 to 1 of x2^x

Lösung

\int_{0}^{1} x 2^{x} d x

Lösung

\frac{2 ln ( 2 ) - 1}{ln ^{2} ( 2 )}

+1

Dezimale

0.80402 \dots

Schritte zur Lösung

\int_{0}^{1} x \cdot 2^{x} d x

Wende die partielle Integration an

= [\frac{2 ^{x} x}{ln ( 2 )} - \int \frac{2 ^{x}}{ln ( 2 )} d x]_{0}^{1}

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

= [\frac{2 ^{x} x}{ln ( 2 )} - \frac{2 ^{x}}{ln ^{2} ( 2 )}]_{0}^{1}

Berechne die Grenzen:

\frac{2 ln ( 2 ) - 1}{ln ^{2} ( 2 )}

= \frac{2 ln ( 2 ) - 1}{ln ^{2} ( 2 )}

Graph

Beliebte Beispiele

integral from 0 to ln(2) of 6e^{2x}

\int_{0}^{l n (2)} 6 e^{2 x} d x

integral from 1.5 to 2 of 1/2

\int_{1.5}^{2} \frac{1}{2} d x

integral from 0 to 0.5 of x

\int_{0}^{0.5} x d x

integral from 0 to 1 of e^y

\int_{0}^{1} e^{y} d y

integral from-1 to 1 of-2cos(pi/3 x)

\int_{- 1}^{1} - 2 cos (\frac{π}{3} x) d x