a*int e^(x)(x^(3)+x+1)/((x^(2)+1)^(3/2))dx

int e^(x)[(x^(3)+x+1)/((1+x^(2))^((3)/(2)))]dx

The value of int e^(x)((x^(3)+x+1))/((1+x^(2))^((3)/(2)))dx is

Integrate : int (e^(x)(x^(3)+x+1))/((1+x^(2))^((3)/(2)))dx

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

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

Evaluate: int(e^x(x^3+x+1))/(1+x^2)^(3/2)dx

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

int e^(x)((1)/(x^(2))-(2)/(x^(3)))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

" (8) "quad e=int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))^(dx)