integral of (sqrt(t)-1/(sqrt(t)))

Lösung

\int (t - \frac{1}{t}) d t

\frac{2}{3} t^{\frac{3}{2}} - 2 t + C

Schritte zur Lösung

\int t - \frac{1}{t} d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int t d t - \int \frac{1}{t} d t

\int t d t = \frac{2}{3} t^{\frac{3}{2}}

\int \frac{1}{t} d t = 2 t

= \frac{2}{3} t^{\frac{3}{2}} - 2 t

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} t^{\frac{3}{2}} - 2 t + C

\frac{d}{d x} (sin (7 x + ln (5 x)))

x \to 0 lim (\frac{1}{x ^{2} ( x + 7 )})

l a pl a ce t r an s f or m t \cdot cos (k t)

\int \frac{1}{9 x - 4} d x

\int \frac{x ^{2} - 2 x}{x ^{3} - 3 x ^{2} + 1} d x