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Beliebt Rechnen >

integral of 2sqrt(x)+3

Lösung

\int 2 x + 3 d x

Lösung

\frac{4}{3} x^{\frac{3}{2}} + 3 x + C

Schritte zur Lösung

\int 2 x + 3 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 2 x d x + \int 3 d x

\int 2 x d x = \frac{4}{3} x^{\frac{3}{2}}

\int 3 d x = 3 x

= \frac{4}{3} x^{\frac{3}{2}} + 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{4}{3} x^{\frac{3}{2}} + 3 x + C

Graph

Beliebte Beispiele

limit as x approaches 0 of x^{x^x}-1

x \to 0 lim (x^{x^{x}} - 1)

derivative (x^2)/3+1/(x^2)

d er i v a t i v e \frac{x ^{2}}{3} + \frac{1}{x ^{2}}

yy^'=-2x(1+y^2)

y y^{^{'}} = - 2 x (1 + y^{2})

integral of x/(sqrt(x^2-5))

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

tangent f(x)=x^3,a

t an g e n t f (x) = x^{3}, a