" 7."int(x+2)/((x^(2)+3x+3)sqrt(x+1))dx

Evaluate the following integrals : (i) int(1)/((x+1)sqrt(2x-3))dx (ii) int(1)/((x+1)sqrt(x^(2)+x-1))dx (iii) int(1)/((x^(2)+3x+3)sqrt(x+1))dx (iv) int(1)/((x^(2)-3x+2)sqrt(x^(2)-2))dx

int(x^2+2x+7)sqrt(x+1)dx

int_(1)^(2)(x^(3)+x+1)/(sqrt(x))dx=

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

int(2x+3)sqrt(1-3x)dx

int(3x+1)sqrt(2x-1)dx

int x sqrt(3x-2)dx

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

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