integral from 1/2 to 2 of 2-2/(x^2)

Lösung

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

0

Schritte zur Lösung

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

\int_{\frac{1}{2}}^{2} 2 d x = 3

\int_{\frac{1}{2}}^{2} \frac{2}{x ^{2}} d x = 3

= 3 - 3

Vereinfache

= 0

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