integral from 1 to 2 of (4^{ln(x)})/x

Lösung

\int_{1}^{2} \frac{4 ^{l n (x)}}{x} d x

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

Dezimale

1.16430 \dots

Schritte zur Lösung

\int_{1}^{2} \frac{4 ^{l n (x)}}{x} d x

Berechne das unbestimmte Integral:

\int \frac{4 ^{l n (x)}}{x} d x = \frac{2 ^{2 l n (x) - 1}}{ln ( 2 )} + C

Berechne die Grenzen:

\int_{1}^{2} \frac{4 ^{l n (x)}}{x} d x = \frac{2 ^{2 l n (2) - 1}}{ln ( 2 )} - \frac{1}{2 ln ( 2 )}

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

\int_{0}^{2} \frac{x ^{3}}{3} + x d x

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