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Beliebt Rechnen >

integral from 0 to 1 of x3^x

Lösung

\int_{0}^{1} x 3^{x} d x

Lösung

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

+1

Dezimale

1.07364 \dots

Schritte zur Lösung

\int_{0}^{1} 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}^{1}

\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}^{1}

Berechne die Grenzen:

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

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

Graph

Beliebte Beispiele

2 x d y + y d x = 0

xyy^'+4x^2+y^2=0

x y y^{^{'}} + 4 x^{2} + y^{2} = 0

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integral of 1/((x+8)(x^2+16))

\int \frac{1}{( x + 8 ) ( x ^{2} + 16 )} d x

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\int sin (4 x + 5) d x