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(1)/((1-x^(3)))

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int(1)/(x(1+x^(3)))dx=

int dx/(x(1+root(3)(x))^2) is equal to : (i) 3log(x^(1/3)/(1+x^(1/3))+1/(1+x^(1/3)))+C (ii) 3log(((1+x^(1/3))/x^(1/3))+1/(1+x^(1/3)))+C (iii) 3log(((1+x^(1/3))/x^(1/3))+1/(1+x^(1/3)))+C (iv) none of these

Evaluate lim_(xrarr1)((1-x^(-1//3))/(1-x^(-2//3))).

underset(x to 1)"Lt"(1-x^(1/3))/(1-x^(2/3))

Sum to infnite terms if |x|<1:1/((1-x)(1-x^3))+x^2/((1-x^3)(1-x^5))+x^4/((1-x^5)(1-x^7))+... .

Evaluate the following limits : Lim_(x to 1)(1-x^(-1//3))/(1-x^(-2//3))

int[(x)^(1//3)-(1)/((x^())^(1//3))]dx is equal to :

int[(x)^(1//3)-(1)/((x^())^(1//3))]dx is equal to :

int sin x+(1)/(x)+(1)/((x)^(1/3))dx