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Beliebt Rechnen >

integral of 12x^2-sin(x)

Lösung

\int 12 x^{2} - sin (x) d x

Lösung

4 x^{3} + cos (x) + C

Schritte zur Lösung

\int 12 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 12 x^{2} d x - \int sin (x) d x

\int 12 x^{2} d x = 4 x^{3}

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

= 4 x^{3} - (- cos (x))

Vereinfache

= 4 x^{3} + cos (x)

Füge eine Konstante zur Lösung hinzu

= 4 x^{3} + cos (x) + C

Graph

Beliebte Beispiele

x^2y^'-2x^3e^{(-1)/x}=y

x^{2} y^{^{'}} - 2 x^{3} e^{\frac{- 1}{x}} = y

integral of 4/(x(x^2+4)^2)

\int \frac{4}{x ( x ^{2} + 4 ) ^{2}} d x

derivative of 25+3x-x^2+5x^8

\frac{d}{d x} (25 + 3 x - x^{2} + 5 x^{8})

derivative f(x)= 3/(x^3)

d er i v a t i v e f (x) = \frac{3}{x ^{3}}

integral of 7sec^3(2x)

\int 7 sec^{3} (2 x) d x