integral of (x-8)^{3/2}

Lösung

\int (x - 8)^{\frac{3}{2}} d x

\frac{2}{5} (x - 8)^{\frac{5}{2}} + C

Schritte zur Lösung

\int (x - 8)^{\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 - 8

ein

= \frac{2}{5} (x - 8)^{\frac{5}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{2}{5} (x - 8)^{\frac{5}{2}} + C

\frac{d}{d x} (e^{2 x y})

d er i v a t i v e f (x) = x^{2} (1 - 4 x)

t an g e n t f (x) = x^{3} - 6 x^{2} - 34 x + 40, at x = - 3

\int_{0}^{7} x 49 - x^{2} d x

\int_{0}^{2} x (x^{2} - 1)^{3} d x