Sympy cannot do this?

integrate(sqrt(x+sqrt(x)))

BTW, this is computed by SAGE:

-1/12*(3*(sqrt(x) + 1)^(5/2)/x^(5/4) - 8*(sqrt(x) + 1)^(3/2)/x^(3/4) - 
3*sqrt(sqrt(x) + 1)/x^(1/4))/((sqrt(x) + 1)^3/x^(3/2) - 3*(sqrt(x) + 1)^2/x 
+ 3*(sqrt(x) + 1)/sqrt(x) - 1) + 1/8*log(sqrt(sqrt(x) + 1)/x^(1/4) + 1) - 
1/8*log(sqrt(sqrt(x) + 1)/x^(1/4) - 1)

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