integral from 1/2 to 4 of 2/x-1/8 x

Lösung

\int_{\frac{1}{2}}^{4} \frac{2}{x} - \frac{1}{8} x d x

6 ln (2) - \frac{63}{64}

Dezimale

3.17450 \dots

Schritte zur Lösung

\int_{\frac{1}{2}}^{4} \frac{2}{x} - \frac{1}{8} 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_{\frac{1}{2}}^{4} \frac{2}{x} d x - \int_{\frac{1}{2}}^{4} \frac{1}{8} x d x

\int_{\frac{1}{2}}^{4} \frac{2}{x} d x = 6 ln (2)

\int_{\frac{1}{2}}^{4} \frac{1}{8} x d x = \frac{63}{64}

= 6 ln (2) - \frac{63}{64}

\frac{d}{d x} (\frac{2 x}{e ^{x}})

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l a pl a ce t r an s f or m cos (15 t)

\frac{d}{d x} (\frac{2 x}{2 + x ^{2}})