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Beliebt Rechnen >

integral of sqrt(x+10)

Lösung

\int x + 10 d x

Lösung

\frac{2}{3} (x + 10)^{\frac{3}{2}} + C

Schritte zur Lösung

\int x + 10 d x

Wende U-Substitution an

= \int u d u

Wende die Potenzregel an

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

Setze in

u = x + 10

ein

= \frac{2}{3} (x + 10)^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} (x + 10)^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

integral from 0 to pi/2 of cos(5t)cos(10t)

\int_{0}^{\frac{π}{2}} cos (5 t) cos (10 t) d t

(d^2)/(dx^2)(sin(3x^2+2))

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

limit as x approaches 0 of cos(x)-1

x \to 0 lim (cos (x) - 1)

derivative (sqrt(3))/(x^5)

d er i v a t i v e \frac{3}{x ^{5}}

integral of x^3sqrt(2+x^2)

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