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Solving integrals/ arctg((2x-1)^0.5)

Integral of arctg((2x-1)^0.5) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  atan\\/ 2*x - 1 / dx
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∫01atan⁡(2x−1) dx\int\limits_{0}^{1} \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}\, dx 
Integral(atan(sqrt(2*x - 1)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                                        
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 |     /  _________\          atan\\/ 2*x - 1 /   \/ 2*x - 1    (2*x - 1)*atan\\/ 2*x - 1 /
 | atan\\/ 2*x - 1 / dx = C + ----------------- - ----------- + ---------------------------
 |                                    2                2                     2             
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∫atan⁡(2x−1) dx=C−2x−12+(2x−1)atan⁡(2x−1)2+atan⁡(2x−1)2\int \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}\, dx = C - \frac{\sqrt{2 x - 1}}{2} + \frac{\left(2 x - 1\right) \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}}{2} + \frac{\operatorname{atan}{\left(\sqrt{2 x - 1} \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.01.0
Plot the graph f(x)
The answer [src] 
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 |  atan\\/ -1 + 2*x / dx
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∫01atan⁡(2x−1) dx\int\limits_{0}^{1} \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}\, dx 
=
= 
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∫01atan⁡(2x−1) dx\int\limits_{0}^{1} \operatorname{atan}{\left(\sqrt{2 x - 1} \right)}\, dx 
Integral(atan(sqrt(-1 + 2*x)), (x, 0, 1))
Numerical answer [src] 
(0.284998883379706 + 0.499599918208988j)
(0.284998883379706 + 0.499599918208988j)

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

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