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Beliebt Rechnen >

integral of (x^4(5-x^2))

Lösung

\int (x^{4} (5 - x^{2})) d x

Lösung

x^{5} - \frac{x ^{7}}{7} + C

Schritte zur Lösung

\int x^{4} (5 - x^{2}) d x

Multipliziere aus

x^{4} (5 - x^{2}) : 5 x^{4} - x^{6}

= \int 5 x^{4} - x^{6} 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^{4} d x - \int x^{6} d x

\int 5 x^{4} d x = x^{5}

\int x^{6} d x = \frac{x ^{7}}{7}

= x^{5} - \frac{x ^{7}}{7}

Füge eine Konstante zur Lösung hinzu

= x^{5} - \frac{x ^{7}}{7} + C

Graph

Beliebte Beispiele

limit as x approaches 1000 of 18pi^2

x \to 1000 lim (18 π^{2})

(\partial)/(\partial x)(x(2x-y^3))

\frac{\partial}{\partial x} (x (2 x - y^{3}))

tangent y=sqrt(5x+6),(2,4)

t an g e n t y = 5 x + 6, (2, 4)

integral of (x+3)^2sin(x)

\int (x + 3)^{2} sin (x) d x

derivative of sin(-4x)

\frac{d}{d x} (sin (- 4 x))