Integral of xctg^2x dx
The solution
The answer (Indefinite)
[src]
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| 2 / 2 \
| 2 x log\1 + tan (x)/ x
| x*cot (x) dx = C - -- - ---------------- - ------ + log(tan(x))
| 2 2 tan(x)
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2sin2(2x)+2cos2(2x)−4cos(2x)+2(sin2(2x)+cos2(2x)−2cos(2x)+1)log(sin2x+cos2x+2cosx+1)+(sin2(2x)+cos2(2x)−2cos(2x)+1)log(sin2x+cos2x−2cosx+1)−x2sin2(2x)−4xsin(2x)−x2cos2(2x)+2x2cos(2x)−x2
The graph
Use the examples entering the upper and lower limits of integration.