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Beliebt Rechnen >

integral of cos(x)coxy-cot(x)

Lösung

\int cos (x) co x y - cot (x)

Lösung

- ln ∣ sin (x) ∣ + coy (x sin (x) + cos (x)) + C

Schritte zur Lösung

\int cos (x) co x y - cot (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 cot (x) d x + \int cos (x) coy x d x

\int cot (x) d x = ln ∣ sin (x) ∣

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

= - ln ∣ sin (x) ∣ + coy (x sin (x) + cos (x))

Füge eine Konstante zur Lösung hinzu

= - ln ∣ sin (x) ∣ + coy (x sin (x) + cos (x)) + C

Graph

Beliebte Beispiele

integral of (x^4-5x)/(x^3)

\int \frac{x ^{4} - 5 x}{x ^{3}} d x

integral of 4xsqrt(x^2-1)

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

integral of (11)/((x-3)(x+8))

\int \frac{11}{( x - 3 ) ( x + 8 )} d x

integral of 7sqrt(y)

\int 7 y d y

integral of (3x+4)/(2sqrt(x))

\int \frac{3 x + 4}{2 x} d x