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Beliebt Rechnen >

integral of (4x^2-3cos(x))

Lösung

\int (4 x^{2} - 3 cos (x)) d x

Lösung

\frac{4 x ^{3}}{3} - 3 sin (x) + C

Schritte zur Lösung

\int 4 x^{2} - 3 cos (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 4 x^{2} d x - \int 3 cos (x) d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int 3 cos (x) d x = 3 sin (x)

= \frac{4 x ^{3}}{3} - 3 sin (x)

Füge eine Konstante zur Lösung hinzu

= \frac{4 x ^{3}}{3} - 3 sin (x) + C

Graph

Beliebte Beispiele

integral of sin(10x)cos(5x)

\int sin (10 x) cos (5 x) d x

f(x)=e^{ln(sin(x^2))}sqrt(2x+1)

f (x) = e^{l n (s i n (x^{2}))} 2 x + 1

integral of e^{4x}cos(6x)

\int e^{4 x} cos (6 x) d x

(dx)/(dt)=3xt^2

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

limit as x approaches-3 of-6/(x+3)

x \to - 3 lim (- \frac{6}{x + 3})