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Beliebt Rechnen >

integral of cos(x)-(sin(x))/x

Lösung

\int cos (x) - \frac{sin ( x )}{x} d x

Lösung

sin (x) - Si (x) + C

Schritte zur Lösung

\int cos (x) - \frac{sin ( x )}{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 cos (x) d x - \int \frac{sin ( x )}{x} d x

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

\int \frac{sin ( x )}{x} d x = Si (x)

= sin (x) - Si (x)

Füge eine Konstante zur Lösung hinzu

= sin (x) - Si (x) + C

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integral of (cos(5x))/(sin^3(5x))

\int \frac{cos ( 5 x )}{sin ^{3} ( 5 x )} d x

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\int x co x (x) d x

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\int \frac{1}{2 x ^{2} + 2 x - 4} d x

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\int x e^{- 4} d x

integral of x^3sqrt(36+x^2)

\int x^{3} 36 + x^{2} d x