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x×ctg^2(x)dx
Solving integrals/ x×ctg^2(x)dx

Integral of x×ctg^2(x)dx dx

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  1               
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 |  x*cot (x)*1 dx
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∫01xcot⁡2(x)1 dx\int\limits_{0}^{1} x \cot^{2}{\left(x \right)} 1\, dx 
Integral(x*cot(x)^2*1, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                 
 |                       2      /       2   \                       
 |      2               x    log\1 + tan (x)/     x                 
 | x*cot (x)*1 dx = C - -- - ---------------- - ------ + log(tan(x))
 |                      2           2           tan(x)              
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(sin⁡2(2 x)+cos⁡2(2 x)−2 cos⁡(2 x)+1) log⁡(sin⁡2x+cos⁡2x+2 cos⁡x+1)+(sin⁡2(2 x)+cos⁡2(2 x)−2 cos⁡(2 x)+1) log⁡(sin⁡2x+cos⁡2x−2 cos⁡x+1)−x2 sin⁡2(2 x)−4 x sin⁡(2 x)−x2 cos⁡2(2 x)+2 x2 cos⁡(2 x)−x22 sin⁡2(2 x)+2 cos⁡2(2 x)−4 cos⁡(2 x)+2{{\left(\sin ^2\left(2\,x\right)+\cos ^2\left(2\,x\right)-2\,\cos \left(2\,x\right)+1\right)\,\log \left(\sin ^2x+\cos ^2x+2\,\cos x+1 \right)+\left(\sin ^2\left(2\,x\right)+\cos ^2\left(2\,x\right)-2\, \cos \left(2\,x\right)+1\right)\,\log \left(\sin ^2x+\cos ^2x-2\, \cos x+1\right)-x^2\,\sin ^2\left(2\,x\right)-4\,x\,\sin \left(2\,x \right)-x^2\,\cos ^2\left(2\,x\right)+2\,x^2\,\cos \left(2\,x\right) -x^2}\over{2\,\sin ^2\left(2\,x\right)+2\,\cos ^2\left(2\,x\right)-4 \,\cos \left(2\,x\right)+2}}
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0.001.000.100.200.300.400.500.600.700.800.9020000-10000
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Numerical answer [src] 
43.7757497717895
43.7757497717895
The graph
Integral of x×ctg^2(x)dx dx

    Use the examples entering the upper and lower limits of integration.

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