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Beliebt Rechnen >

integral of x^3+sin(x)+cos(x)

Lösung

\int x^{3} + sin (x) + cos (x) d x

Lösung

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

Schritte zur Lösung

\int x^{3} + sin (x) + 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 x^{3} d x + \int sin (x) d x + \int cos (x) d x

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of e^{8x}sin(9x)

\int e^{8 x} sin (9 x) d x

derivative f(x)=tan^2(3e^x)

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

derivative 7/((2x+1)^2)

d er i v a t i v e \frac{7}{( 2 x + 1 ) ^{2}}

x^{''}=-x+0.1x^'

x^{^{''}} = - x + 0.1 x^{^{'}}

(y^{''}+10y^'+149)/(4y)=0

\frac{y ^{^{''}} + 10 y ^{^{'}} + 149}{4 y} = 0