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Beliebt Rechnen >

integral from 0 to 1 of (5^x-3^x)

Lösung

\int_{0}^{1} (5^{x} - 3^{x}) d x

Lösung

\frac{4}{ln ( 5 )} - \frac{2}{ln ( 3 )}

+1

Dezimale

0.66486 \dots

Schritte zur Lösung

\int_{0}^{1} 5^{x} - 3^{x} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} 5^{x} d x - \int_{0}^{1} 3^{x} d x

\int_{0}^{1} 5^{x} d x = \frac{4}{ln ( 5 )}

\int_{0}^{1} 3^{x} d x = \frac{2}{ln ( 3 )}

= \frac{4}{ln ( 5 )} - \frac{2}{ln ( 3 )}

Graph

Beliebte Beispiele

tangent y=2x^3,(1,2)

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integral of (ln(11x))/(x^9)

\int \frac{ln ( 11 x )}{x ^{9}} d x

integral of ((7x^2+5x-6))/((x^2-4)(x+2))

\int \frac{( 7 x ^{2} + 5 x - 6 )}{( x ^{2} - 4 ) ( x + 2 )} d x

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\frac{d}{d x} (\frac{x}{( m + n x )})