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Integral of (tan(x))^0.5 dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
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01tan(x)dx\int\limits_{0}^{1} \sqrt{\tan{\left(x \right)}}\, dx
Integral(sqrt(tan(x)), (x, 0, 1))
The answer (Indefinite) [src]
2(log(tanx+2tanx+1)252+log(tanx2tanx+1)252+arctan(2tanx+22)232+arctan(2tanx22)232)2\,\left(-{{\log \left(\tan x+\sqrt{2}\,\sqrt{\tan x}+1\right) }\over{2^{{{5}\over{2}}}}}+{{\log \left(\tan x-\sqrt{2}\,\sqrt{\tan x}+1\right)}\over{2^{{{5}\over{2}}}}}+{{\arctan \left({{2\,\sqrt{ \tan x}+\sqrt{2}}\over{\sqrt{2}}}\right)}\over{2^{{{3}\over{2}}}}}+ {{\arctan \left({{2\,\sqrt{\tan x}-\sqrt{2}}\over{\sqrt{2}}}\right) }\over{2^{{{3}\over{2}}}}}\right)
The answer [src]
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01tan(x)dx\int\limits_{0}^{1} \sqrt{\tan{\left(x \right)}}\, dx
=
=
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01tan(x)dx\int\limits_{0}^{1} \sqrt{\tan{\left(x \right)}}\, dx
Numerical answer [src]
0.727298249343511
0.727298249343511

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