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Beliebt Rechnen >

integral of (t^2-2cos(t))

Lösung

\int (t^{2} - 2 cos (t)) d t

Lösung

\frac{t ^{3}}{3} - 2 sin (t) + C

Schritte zur Lösung

\int t^{2} - 2 cos (t) d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int t^{2} d t - \int 2 cos (t) d t

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

\int 2 cos (t) d t = 2 sin (t)

= \frac{t ^{3}}{3} - 2 sin (t)

Füge eine Konstante zur Lösung hinzu

= \frac{t ^{3}}{3} - 2 sin (t) + C

Graph

Beliebte Beispiele

derivative f(x)=2x^2-3x+1

d er i v a t i v e f (x) = 2 x^{2} - 3 x + 1

limit as x approaches 0 of (100)/(x^2)

x \to 0 lim (\frac{100}{x ^{2}})

derivative cos^3(t)

d er i v a t i v e cos^{3} (t)

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

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

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\int_{0}^{π} 4 cos^{4} (x) sin (x) d x