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x^2*arcctgx
Solving integrals/ x^2*arcctgx

Integral of x^2*arcctgx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1              
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 |   2           
 |  x *acot(x) dx
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0
$$\int\limits_{0}^{1} x^{2} \operatorname{acot}{\left(x \right)}\, dx$$ 
Integral(x^2*acot(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                 
 |                        /     2\    2    3        
 |  2                  log\1 + x /   x    x *acot(x)
 | x *acot(x) dx = C - ----------- + -- + ----------
 |                          6        6        3     
/
$$\int x^{2} \operatorname{acot}{\left(x \right)}\, dx = C + \frac{x^{3} \operatorname{acot}{\left(x \right)}}{3} + \frac{x^{2}}{6} - \frac{\log{\left(x^{2} + 1 \right)}}{6}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1   log(2)   pi
- - ------ + --
6     6      12
$$- \frac{\log{\left(2 \right)}}{6} + \frac{1}{6} + \frac{\pi}{12}$$ 
=
= 
1   log(2)   pi
- - ------ + --
6     6      12
$$- \frac{\log{\left(2 \right)}}{6} + \frac{1}{6} + \frac{\pi}{12}$$ 
1/6 - log(2)/6 + pi/12
Numerical answer [src] 
0.312941524372492
0.312941524372492
The graph
Integral of x^2*arcctgx dx

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

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