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Beliebt Rechnen >

integral of (4x+sqrt(x))

Lösung

\int (4 x + x) d x

Lösung

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

Schritte zur Lösung

\int 4 x + x 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 4 x d x + \int x d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

tangent y=sqrt(x),\at x= 1/4

t an g e n t y = x, at x = \frac{1}{4}

integral of (ln^5(x^2))/x

\int \frac{ln ^{5} ( x ^{2} )}{x} d x

derivative of-6x^2+6x

\frac{d}{d x} (- 6 x^{2} + 6 x)

integral of 2(3-e^{-t})

\int 2 (3 - e^{- t}) d t

inverselaplace 2/(s^2+4s+3)

in v erse l a pl a ce \frac{2}{s ^{2} + 4 s + 3}