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x^2/csc(x)

Integral of x^2/csc(x) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1          
  /          
 |           
 |     2     
 |    x      
 |  ------ dx
 |  csc(x)   
 |           
/            
0            
$$\int\limits_{0}^{1} \frac{x^{2}}{\csc{\left(x \right)}}\, dx$$
Integral(x^2/csc(x), (x, 0, 1))
The answer (Indefinite) [src]
  /                                             
 |                                              
 |    2                                 2       
 |   x              2*x     2*cot(x)   x *cot(x)
 | ------ dx = C + ------ + -------- - ---------
 | csc(x)          csc(x)    csc(x)      csc(x) 
 |                                              
/                                               
$$\int \frac{x^{2}}{\csc{\left(x \right)}}\, dx = C - \frac{x^{2} \cot{\left(x \right)}}{\csc{\left(x \right)}} + \frac{2 x}{\csc{\left(x \right)}} + \frac{2 \cot{\left(x \right)}}{\csc{\left(x \right)}}$$
The graph
The answer [src]
       2      cot(1)
-2 + ------ + ------
     csc(1)   csc(1)
$$-2 + \frac{\cot{\left(1 \right)}}{\csc{\left(1 \right)}} + \frac{2}{\csc{\left(1 \right)}}$$
=
=
       2      cot(1)
-2 + ------ + ------
     csc(1)   csc(1)
$$-2 + \frac{\cot{\left(1 \right)}}{\csc{\left(1 \right)}} + \frac{2}{\csc{\left(1 \right)}}$$
-2 + 2/csc(1) + cot(1)/csc(1)
Numerical answer [src]
0.223244275483933
0.223244275483933
The graph
Integral of x^2/csc(x) dx

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