The value of `int(x^(2))/(1+x^(6))dx` is equal toA. `x^(3)+C`B. `(1)/(3)tan^(-1)(x^(3))+C`C. `log(1+x^(3))`D. None of these

The value of `int(x^(2))/(1+x^(6))dx` is equal toA. `x^(3)+C`B. `(1)/(

1.	The value of `int(x^(2))/(1+x^(6))dx` is equal toA. `x^(3)+C`B. `(1)/(3)tan^(-1)(x^(3))+C`C. `log(1+x^(3))`D. None of these
Answer» Correct Answer - B Let `l=int(x^(2))/(1+x^(6))dx` Put`" "x^(3)=t rArr x^(2)dx=(1)/(3)dt` `therefore" "l=(1)/(3)int(1)/(1+t^(2))dt=(1)/(3)tan^(-1)t+C` `=(1)/(3)tan^(-1)(x^(3))+C`