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Beliebt Rechnen >

integral of x^2+sin(x)+1

Lösung

\int x^{2} + sin (x) + 1 d x

Lösung

\frac{x ^{3}}{3} - cos (x) + x + C

Schritte zur Lösung

\int x^{2} + sin (x) + 1 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^{2} d x + \int sin (x) d x + \int 1 d x

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

\int sin (x) d x = - cos (x)

\int 1 d x = x

= \frac{x ^{3}}{3} - cos (x) + x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} - cos (x) + x + C

Graph

Beliebte Beispiele

limit as x approaches-infinity of (8x^3)/(9x^4)

x \to - \infty lim (\frac{8 x ^{3}}{9 x ^{4}})

vereinfachen x^2+(16)/x

s im pl i f y x^{2} + \frac{16}{x}

derivative of (x-5/(3x-4))

\frac{d}{d x} (\frac{x - 5}{3 x - 4})

derivative of-(ln(2)/(x(x+ln(2))))

\frac{d}{d x} (- \frac{ln ( 2 )}{x ( x + ln ( 2 ) )})

(dx)/(dy)=-x^2+7x-8

\frac{d x}{d y} = - x^{2} + 7 x - 8