integral from 1 to 6 of x/6-6/x

Lösung

\int_{1}^{6} \frac{x}{6} - \frac{6}{x} d x

\frac{35}{12} - 6 ln (6)

Dezimale

- 7.83389 \dots

Schritte zur Lösung

\int_{1}^{6} \frac{x}{6} - \frac{6}{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}^{6} \frac{x}{6} d x - \int_{1}^{6} \frac{6}{x} d x

\int_{1}^{6} \frac{x}{6} d x = \frac{35}{12}

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

= \frac{35}{12} - 6 ln (6)

\int_{0}^{4} y^{2} (4 - y) d y

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

\int_{0}^{π} y sin (z) d x

\int_{0}^{1} s 1 - s^{2} d s

\int_{0}^{1} (1 - x)^{4} d x