integral of 2/(x^2)-(x^2)/2

Lösung

\int \frac{2}{x ^{2}} - \frac{x ^{2}}{2} d x

- \frac{2}{x} - \frac{x ^{3}}{6} + C

Schritte zur Lösung

\int \frac{2}{x ^{2}} - \frac{x ^{2}}{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{2}{x ^{2}} d x - \int \frac{x ^{2}}{2} d x

\int \frac{2}{x ^{2}} d x = - \frac{2}{x}

\int \frac{x ^{2}}{2} d x = \frac{x ^{3}}{6}

= - \frac{2}{x} - \frac{x ^{3}}{6}

Füge eine Konstante zur Lösung hinzu

= - \frac{2}{x} - \frac{x ^{3}}{6} + C

n = 1 \sum \infty n e^{- 7 n}

\frac{d}{d x} (arctan^{t a n (x)} (x))

\int \frac{x}{1 + x ^{3}} d x

\frac{d}{d x} (- 8 x - cos (x))

n = 7 \sum \infty e^{5} - 2 n