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

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

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

If int_(-1/sqrt(2))^(1/sqrt(2))(((x-1)/(x+1))^2+((x+1)/(x-1))^2-2)^(1/2)dx

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

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

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

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

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

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

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

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