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Beliebt Rechnen >

integral of (xsqrt(x)+1/(xsqrt(x)))

Lösung

\int (x x + \frac{1}{x x}) d x

Lösung

\frac{2}{5} x^{\frac{5}{2}} - \frac{2}{x} + C

Schritte zur Lösung

\int x x + \frac{1}{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 x x d x + \int \frac{1}{x x} d x

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

\int \frac{1}{x x} d x = - \frac{2}{x}

= \frac{2}{5} x^{\frac{5}{2}} - \frac{2}{x}

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 3tsqrt(16-t^2)

\int 3 t 16 - t^{2} d t

integral of ((tsqrt(t)+sqrt(t))/(t^2))

\int (\frac{t t + t}{t ^{2}}) d t

integral of (208)/((x+7)^2)

\int \frac{208}{( x + 7 ) ^{2}} d x

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\int \frac{sin ( ln ( 17 x ) )}{x} d x

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\int 6 x^{2} - \frac{3}{2 x ^{4}} d x