integral of (x^{2/3}+3)

Lösung

\int (x^{\frac{2}{3}} + 3) d x

\frac{3}{5} x^{\frac{5}{3}} + 3 x + C

Schritte zur Lösung

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

\int x^{\frac{2}{3}} d x = \frac{3}{5} x^{\frac{5}{3}}

\int 3 d x = 3 x

= \frac{3}{5} x^{\frac{5}{3}} + 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{3}{5} x^{\frac{5}{3}} + 3 x + C

d er i v a t i v e y = arcsin (\frac{x}{6})

t an g e n t f (x) = x^{2} + 6

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