f(x)=int(3x^(2)+1)/((x^(2)-1)^(3))dx

f(x)=int(3x^(2)+1)/(x^(2)-1)dx

int(3x^(2)+1)/(x(x^(2)+1))dx

Evaluate : (i) int(3x^(2))/((1+x^(6)))dx (ii) int(x^(3))/((x^(2)+1)^(3))dx (iii) (x^(8))/((1-x^(3))^(1//3))dx

Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=

int(3x+1)/(2x^(2)+x-1)dx

int(3x+1)/(2x^(2)+x-1)dx

int(x^(2)+3x-1)/((x+1)^(2))dx

If int(x^(2)+1)/((x-1)^(2)(x+3))dx=(3)/(8)log|x-1|-(1)/(2(x-1))+F(x)+C then 8F'(2) equals to

int (3x+1)/((x-1)^(2)(x+3))dx=

int(2x^(2)+3)sqrt(x+2)dx( ii) int(x^(2)+3x+1)/((x+1)^(2))dx