integral of (x+1)^{3/2}

Lösung

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

\frac{2}{5} (x + 1)^{\frac{5}{2}} + C

Schritte zur Lösung

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

Wende U-Substitution an

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

Wende die Potenzregel an

= \frac{2}{5} u^{\frac{5}{2}}

Setze in

u = x + 1

ein

= \frac{2}{5} (x + 1)^{\frac{5}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{2}{5} (x + 1)^{\frac{5}{2}} + C

\frac{\partial}{\partial x} (x + 9 y + 8 z)

\frac{d}{d x} (\frac{7}{3 x ^{7} - 12 x ^{6} + 2 x ^{2} - 9})

t an g e n t y = \frac{1}{x + 2}, at x = 7

x \to 8 lim (9 x + ∣ x - 8 ∣)

t an g e n t f (x) = x^{2} - \frac{1}{x}, (1, 0)