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

Evaluate int_(1)^(5)sqrt(x-2)sqrt(x-1)dx .

Evaluate: int_(0)^(4)(1)/(x+sqrt(x))dx( ii) int_(0)^(1)(2x)/(5x^(2)+1)dx

Evaluate :int_(0)^(1)(1)/(sqrt(2x+3))dx

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

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

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

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

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