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Beliebt Rechnen >

integral of (3+3cot(x))

Lösung

\int (3 + 3 cot (x)) d x

Lösung

3 x + 3 ln ∣ sin (x) ∣ + C

Schritte zur Lösung

\int 3 + 3 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 3 d x + \int 3 cot (x) d x

\int 3 d x = 3 x

\int 3 cot (x) d x = 3 ln ∣ sin (x) ∣

= 3 x + 3 ln ∣ sin (x) ∣

Füge eine Konstante zur Lösung hinzu

= 3 x + 3 ln ∣ sin (x) ∣ + C

Graph

Beliebte Beispiele

integral of 7+5t+(3t^2)/2

\int 7 + 5 t + \frac{3 t ^{2}}{2} d t

integral of pi/2 x^2e^{pix}

\int \frac{π}{2} x^{2} e^{π x} d x

integral of (7x^2+3x+8)/(x^3-1)

\int \frac{7 x ^{2} + 3 x + 8}{x ^{3} - 1} d x

integral of x*ln(sqrt(x^2+1))

\int x \cdot ln (x^{2} + 1) d x

integral of (x^2+12x-12)/(x^3-4x)

\int \frac{x ^{2} + 12 x - 12}{x ^{3} - 4 x} d x