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Beliebt Rechnen >

integral from 1 to 6 of (5^{ln(x)})/x

Lösung

\int_{1}^{6} \frac{5 ^{l n (x)}}{x} d x

Lösung

\frac{5 ^{l n (6)} - 1}{ln ( 5 )}

+1

Dezimale

10.48860 \dots

Schritte zur Lösung

\int_{1}^{6} \frac{5 ^{l n (x)}}{x} d x

Wende U-Substitution an

= \int_{0}^{l n (6)} 5^{u} d u

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{5 ^{u}}{ln ( 5 )}]_{0}^{l n (6)}

Berechne die Grenzen:

\frac{5 ^{l n (6)} - 1}{ln ( 5 )}

= \frac{5 ^{l n (6)} - 1}{ln ( 5 )}

Graph

Beliebte Beispiele

sum from n=0 to infinity of 3(3/2)^n

n = 0 \sum \infty 3 (\frac{3}{2})^{n}

integral of (1/x-6/(x^2+1))

\int (\frac{1}{x} - \frac{6}{x ^{2} + 1}) d x

integral from 0 to 16 of sqrt(x)-1/4 x

\int_{0}^{16} x - \frac{1}{4} x d x

derivative of (4x+5/8)

\frac{d}{d x} (\frac{4 x + 5}{8})

steigung y= 3/x ,(5, 3/5)

s l o p e y = \frac{3}{x}, (5, \frac{3}{5})