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x*arctgx
Solving integrals/ x*arctgx

Integral of x*arctgx dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  x*acot(x) dx
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$$\int\limits_{0}^{1} x \operatorname{acot}{\left(x \right)}\, dx$$ 
Integral(x*acot(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                  2        
 |                    x   acot(x)   x *acot(x)
 | x*acot(x) dx = C + - + ------- + ----------
 |                    2      2          2     
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$$\int x \operatorname{acot}{\left(x \right)}\, dx = C + \frac{x^{2} \operatorname{acot}{\left(x \right)}}{2} + \frac{x}{2} + \frac{\operatorname{acot}{\left(x \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/2
$$\frac{1}{2}$$ 
=
= 
1/2
$$\frac{1}{2}$$ 
1/2
Numerical answer [src] 
0.5
0.5
The graph
Integral of x*arctgx dx

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

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