How would you integrate (1+x^30)/(1+x^60)

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SUMMARY

The integral of the function (1+x^30)/(1+x^60) from 0 to 1 can be simplified using the substitution t=x^30. This substitution transforms the integral into a more manageable form, allowing for easier algebraic manipulation and factorization. Users in the discussion emphasized the importance of careful algebraic steps following the substitution to achieve the correct result. The initial confusion regarding the approach was acknowledged and corrected by participants in the forum.

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Halen
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how would you integrate (1+x^30)/(1+x^60) from 0 to 1?

tried so many ways but in vain..

any help?
 
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This is not the forum for posting course related problems.

Did you try to use the substitution t=x^30 ? This should simplify your integral quite a bit.
Then just do some smart algebra and factorisation.

EDIT: This is wrong. Sorry for the confusion
 
Last edited:


Hi !
May be this can help you :
 

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