`int(2x+1)(x^(2)+x+1)^(4)dx=`

int(2x)/((x^(2)+1)(x^(4)+4))dx

Evaluate: int(1)/((x^(2)+1)(x^(2)+4))dx

int(1)/(2x^(2)-4x+1)dx

int(4x+1)/(2x^(2)+x+1)dx

(i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))dx (iii) int ((x^(4))/(1+x^(2)))dx , (iv) int((x^(2))/(1+x^(2)))dx

int(x^(4)-1)/(x^(2)(x^(4)+x^(2)+1)^(1/2))dx" is equal to "

int(1)/(x^(2)(x^(4)+1)^(3//4))dx=