On Friday, April 13, 2018 at 7:17:12 PM UTC+3, Bb Yu wrote:
>
> 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))) 
>

Both answers are correct. They only differ by a constant as 
atan(1/x**(1/6)) is equal to  π/2 - atan(x**(1/6)).

Kalevi Suominen

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