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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

integral of (14x+6x)

\int (14 x + 6 x) d x

y^'+y=yxe^{x+2}

y^{^{'}} + y = y x e^{x + 2}

integral of x/(\sqrt[3]{x+4)}

\int \frac{x}{3 x + 4} d x

limit as x approaches 3 of 1/((x-3)^8)

x \to 3 lim (\frac{1}{( x - 3 ) ^{8}})

limit as x approaches-3 of (x^2-9)/(3+x)

x \to - 3 lim (\frac{x ^{2} - 9}{3 + x})