integral from 1 to 4 of (x/8-3/x)

Lösung

\int_{1}^{4} (\frac{x}{8} - \frac{3}{x}) d x

\frac{15}{16} - 6 ln (2)

Dezimale

- 3.22138 \dots

Schritte zur Lösung

\int_{1}^{4} \frac{x}{8} - \frac{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_{1}^{4} \frac{x}{8} d x - \int_{1}^{4} \frac{3}{x} d x

\int_{1}^{4} \frac{x}{8} d x = \frac{15}{16}

\int_{1}^{4} \frac{3}{x} d x = 6 ln (2)

= \frac{15}{16} - 6 ln (2)

\int_{0}^{1} \frac{( - x + 1 ) ^{3}}{6} d x

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\int_{0}^{1} e^{6 y} y d y