integral of e^x-x^{2/5}

Lösung

\int e^{x} - x^{\frac{2}{5}} d x

e^{x} - \frac{5}{7} x^{\frac{7}{5}} + C

Schritte zur Lösung

\int e^{x} - x^{\frac{2}{5}} 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 e^{x} d x - \int x^{\frac{2}{5}} d x

\int e^{x} d x = e^{x}

\int x^{\frac{2}{5}} d x = \frac{5}{7} x^{\frac{7}{5}}

= e^{x} - \frac{5}{7} x^{\frac{7}{5}}

Füge eine Konstante zur Lösung hinzu

= e^{x} - \frac{5}{7} x^{\frac{7}{5}} + C

in v erse l a pl a ce \frac{3}{2 s + 1} \cdot \frac{1}{s}

\frac{d}{d x} ((x - \frac{1}{x})^{2})

t \to \frac{x}{2} lim (\frac{sin ( t )}{t})

s l o p e (- 3.5) (4.3)

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