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Beliebt Rechnen >

integral of 5x^2-8x+5

Lösung

\int 5 x^{2} - 8 x + 5 d x

Lösung

\frac{5 x ^{3}}{3} - 4 x^{2} + 5 x + C

Schritte zur Lösung

\int 5 x^{2} - 8 x + 5 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 5 x^{2} d x - \int 8 x d x + \int 5 d x

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

\int 8 x d x = 4 x^{2}

\int 5 d x = 5 x

= \frac{5 x ^{3}}{3} - 4 x^{2} + 5 x

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{3}}{3} - 4 x^{2} + 5 x + C

Graph

Beliebte Beispiele

integral of 1/(8x-7)

\int \frac{1}{8 x - 7} d x

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\int \frac{cos ( x )}{9 sin ^{2} ( x )} d x

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\int \frac{2 x ^{2} + x + 3}{x ^{3} - 1} d x

integral of ((5+x))/x

\int \frac{( 5 + x )}{x} d x

integral of sqrt(81x^2+35)

\int 81 x^{2} + 35 d x