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

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

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

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

Consider int(3x^(4)+2x^(2)+1)/(sqrt(x^(4)+x^(2)+1))dx=f(x) . If f(1)=sqrt3 , then (f(2))^(2) is equal to

Consider int(3x^(4)+2x^(2)+1)/(sqrt(x^(4)+x^(2)+1))dx=f(x) . If f(1)=sqrt3 , then (f(2))^(2) is equal to

int_(1)^(2)(dx)/(sqrt(x^(2)+4x+3))

int(2x)/(sqrt(1-x^(2)-x^(4)))dx=

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

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx

Evaluate the following : (i) int(x+(1)/(x))^(3//2)((x^(2)-1)/(x^(2)))dx " (ii) " int(sqrt(2+logx))/(x)dx (iii) int((sin^(-1)x)^(3))/(sqrt(1-x^(2)))dx " (iv) " int(cotx)/(sqrt(sinx))dx