`int((x^(5/2)+3x^(3/2)+1)/(x^(2)))dx`

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

int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))dx is equal to (A) (1)/(3)(x+(1)/(x))^(3)+C (B)(2)/(5)(x+(1)/(x))^(5/2)

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

int(x^(3)+3x^(2)+3x+1)/((x+1)^(5))dx=

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

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

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

int(2x^(2)-3x-3)/((x-1)(x^(2)-2x+5))dx

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

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