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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of a^2-x^2

\frac{d}{d x} (a^{2} - x^{2})

derivative y=5x+2

d er i v a t i v e y = 5 x + 2

sum from k=3 to infinity of 3/(k^2-2k)

k = 3 \sum \infty \frac{3}{k ^{2} - 2 k}

derivative (5x+7)^2

d er i v a t i v e (5 x + 7)^{2}

integral of sin(4t)cos(4t)

\int sin (4 t) cos (4 t) d t