integral of (3+xsqrt(x))

Lösung

\int (3 + x x) d x

3 x + \frac{2}{5} x^{\frac{5}{2}} + C

Schritte zur Lösung

\int 3 + x x 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 3 d x + \int x x d x

\int 3 d x = 3 x

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

= 3 x + \frac{2}{5} x^{\frac{5}{2}}

Füge eine Konstante zur Lösung hinzu

= 3 x + \frac{2}{5} x^{\frac{5}{2}} + C

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