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(x^(2))/(1+x^(6)) |
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Answer» SOLUTION :` INT(x^(2))/(1-x^(6))dx` `=int (x^(2))/(1-(x^(2))^(2))dx ""underset(rArr x^(2) dx=(DT)/(3))underset(rArr 3x^(2) dx=dt)(" Let " x^(3) =t)` `= int (1)/(1-t^(2)).(dt)/(3) =(1)/(3) int (1)/(1^(2)-t^(2))dt` ` =(1)/(3),(1)/(2) log |(1+t)/(1-t)| +c =(1)/(6) log |(1+x^(3))/(1-x^(3))|+c` |
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