integral from 1 to 3 of (2-3/(x^2))

Lösung

\int_{1}^{3} (2 - \frac{3}{x ^{2}}) d x

2

Schritte zur Lösung

\int_{1}^{3} 2 - \frac{3}{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_{1}^{3} 2 d x - \int_{1}^{3} \frac{3}{x ^{2}} d x

\int_{1}^{3} 2 d x = 4

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

= 4 - 2

Vereinfache

= 2