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Integral of 2*x*arctg(x/3) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1               
  /               
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 |          /x\   
 |  2*x*atan|-| dx
 |          \3/   
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0                 
$$\int\limits_{0}^{1} 2 x \operatorname{atan}{\left(\frac{x}{3} \right)}\, dx$$
Integral((2*x)*atan(x/3), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                 
 |                                                  
 |         /x\                      /x\    2     /x\
 | 2*x*atan|-| dx = C - 3*x + 9*atan|-| + x *atan|-|
 |         \3/                      \3/          \3/
 |                                                  
/                                                   
$$\int 2 x \operatorname{atan}{\left(\frac{x}{3} \right)}\, dx = C + x^{2} \operatorname{atan}{\left(\frac{x}{3} \right)} - 3 x + 9 \operatorname{atan}{\left(\frac{x}{3} \right)}$$
The graph
The answer [src]
-3 + 10*atan(1/3)
$$-3 + 10 \operatorname{atan}{\left(\frac{1}{3} \right)}$$
=
=
-3 + 10*atan(1/3)
$$-3 + 10 \operatorname{atan}{\left(\frac{1}{3} \right)}$$
-3 + 10*atan(1/3)
Numerical answer [src]
0.217505543966422
0.217505543966422

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