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Solving integrals/ 4xarctg2x

Integral of 4xarctg2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 -1                 
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 |  4*x*atan(2*x) dx
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1
$$\int\limits_{1}^{-1} 4 x \operatorname{atan}{\left(2 x \right)}\, dx$$ 
Integral((4*x)*atan(2*x), (x, 1, -1))
The answer (Indefinite) [src] 
  /                                                     
 |                        atan(2*x)          2          
 | 4*x*atan(2*x) dx = C + --------- - x + 2*x *atan(2*x)
 |                            2                         
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$$\int 4 x \operatorname{atan}{\left(2 x \right)}\, dx = C + 2 x^{2} \operatorname{atan}{\left(2 x \right)} - x + \frac{\operatorname{atan}{\left(2 x \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2 - 5*atan(2)
$$2 - 5 \operatorname{atan}{\left(2 \right)}$$ 
=
= 
2 - 5*atan(2)
$$2 - 5 \operatorname{atan}{\left(2 \right)}$$ 
2 - 5*atan(2)
Numerical answer [src] 
-3.53574358897045
-3.53574358897045

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

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