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Beliebt Rechnen >

integral of 1-x^2+1/2 x^4

Lösung

\int 1 - x^{2} + \frac{1}{2} x^{4} d x

Lösung

x - \frac{x ^{3}}{3} + \frac{x ^{5}}{10} + C

Schritte zur Lösung

\int 1 - x^{2} + \frac{1}{2} x^{4} 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 1 d x - \int x^{2} d x + \int \frac{1}{2} x^{4} d x

\int 1 d x = x

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

\int \frac{1}{2} x^{4} d x = \frac{x ^{5}}{10}

= x - \frac{x ^{3}}{3} + \frac{x ^{5}}{10}

Füge eine Konstante zur Lösung hinzu

= x - \frac{x ^{3}}{3} + \frac{x ^{5}}{10} + C

Graph

Beliebte Beispiele

taylor x^3-2x^2+3x-5,2

t a y l or x^{3} - 2 x^{2} + 3 x - 5, 2

limit as x approaches 4 of 2x^2-11x

x \to 4 lim (2 x^{2} - 11 x)

derivative of (42/(x^4))

\frac{d}{d x} (\frac{42}{x ^{4}})

limit as x approaches 0 of x^2+3

x \to 0 lim (x^{2} + 3)

y^'x^2+2xy=5y^3

y^{^{'}} x^{2} + 2 x y = 5 y^{3}