integral of x^{2/3}+x

Lösung

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

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

\int_{- 6}^{5} x^{2} - 3 x - 4 d x

t a y l or cos^{2} (x)

\int \frac{x ^{2}}{( x ^{2} + 16 ) ^{\frac{3}{2}}} d x

\frac{\partial}{\partial x} (\frac{6 x}{y ^{2}})

in v erse l a pl a ce \frac{1}{10 \cdot s}