Mister Exam

Other calculators

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

Integral of x×ctg^2(x)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |       2        
 |  x*cot (x)*1 dx
 |                
/                 
0
$$\int\limits_{0}^{1} x \cot^{2}{\left(x \right)} 1\, dx$$ 
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)              
/
$${{\left(\sin ^2\left(2\,x\right)+\cos ^2\left(2\,x\right)-2\,\cos \left(2\,x\right)+1\right)\,\log \left(\sin ^2x+\cos ^2x+2\,\cos x+1 \right)+\left(\sin ^2\left(2\,x\right)+\cos ^2\left(2\,x\right)-2\, \cos \left(2\,x\right)+1\right)\,\log \left(\sin ^2x+\cos ^2x-2\, \cos x+1\right)-x^2\,\sin ^2\left(2\,x\right)-4\,x\,\sin \left(2\,x \right)-x^2\,\cos ^2\left(2\,x\right)+2\,x^2\,\cos \left(2\,x\right) -x^2}\over{2\,\sin ^2\left(2\,x\right)+2\,\cos ^2\left(2\,x\right)-4 \,\cos \left(2\,x\right)+2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$${\it \%a}$$ 
=
= 
oo
$$\infty$$
Упростить
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.

    © Mister Exam – Calculator