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You entered:

x^2/2*ctgx

What you mean?

Integral of x^2/2*ctgx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |   2          
 |  x *cot(x)   
 |  --------- dx
 |      2       
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{x^{2} \cot{\left(x \right)}}{2}\, dx$$
Integral(x^2*cot(x)/2, (x, 0, 1))
Numerical answer [src]
0.206337648765925
0.206337648765925

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