The problem from MIT integration bee 2006
integrate( (( x**(-Rational(1,2) ) ) / (1+x**(Rational(1,3)) ) )
Answer of sympy:
6*x**(1/6) + 6*atan(x**(-1/6))
MIT, wolframe alpha, symbolab answer:
6 * x**(Rational(1,6)) - 6 *atan(x**(Rational(1,6)))
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