" Find the value of "int(d(x^(2)+1))/(sqrt((x^(2)+2)))

Evaluate: int(dx)/(sqrt((x-1)(2-x))) by the substitution x=1+sin^(2)theta . Hence, find the value of int_(1)^(2)(dx)/(sqrt((x-1)(2-x)))

Find the value of int dx/((x -1)sqrt(x^2 + 4))

Evaluate :int(dx)/(sqrt((x-1)(2-x))) by the substitution x=1+sin^(2)theta .Hence,find the value of int_(1)^(2)(dx)/(sqrt((x-1)(2-x)))

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

Evaluate int(x-sqrt(x^(2)-1))/(x+sqrt(x^(2)-1))

Evaluate int(x-sqrt(x^(2)-1))/(x+sqrt(x^(2)-1))

Find the value of int_0^(1//2)(xcos^(-1)x)/(sqrt(1-x^2))dx

If x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) , find the value of x^(2) + (1)/(x^(2)) .

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

Evaluate int(dx)/((1-x^(2))sqrt(1-x^(2))).