integral from 1/2 to 2 of 5-5/(x^2)

Lösung

\int_{\frac{1}{2}}^{2} 5 - \frac{5}{x ^{2}} d x

0

Schritte zur Lösung

\int_{\frac{1}{2}}^{2} 5 - \frac{5}{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} 5 d x - \int_{\frac{1}{2}}^{2} \frac{5}{x ^{2}} d x

\int_{\frac{1}{2}}^{2} 5 d x = \frac{15}{2}

\int_{\frac{1}{2}}^{2} \frac{5}{x ^{2}} d x = \frac{15}{2}

= \frac{15}{2} - \frac{15}{2}

Vereinfache

= 0

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