Evaluate `int_(1)^(2) 1/sqrt((x-1)(2-x))dx`

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(1)/(sqrt((x-1)(x-2)))dx

int_(1)^(2)(1)/(x sqrt(x^(2)-1))dx=

Evaluate: int_(1/4)^(1/2)(1)/(sqrt(x-x^(2)))dx

Evaluate: int_(1)^(2)(1)/((x+1)(x+2))dx( ii) int_(1)^(2)(1)/(x(1+x^(2)))dx

Evaluate the following definite integrals (1-28):int_(1)^(2)(1)/(sqrt((x-1)(2-x)))dx

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

Evaluate : int_(0)^(1) (x)/(sqrt(1+x^(2)))dx

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

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