Evaluate `intsqrt((1-x)/(1+x))dx`.

1.	Evaluate `intsqrt((1-x)/(1+x))dx`.
Answer» `intsqrt((1+x)/(1-x))dx=int(sqrt(1+x))/(sqrt(1-x))xx(sqrt(1+x))/(sqrt(1+x))dx` `=int(1+x)/(sqrt(1-x^(2)))dx=int(dx)/(sqrt(1-x^(2)))+int(x)/(sqrt(1-x^(2)))dx` `int(dx)/(sqrt(1-x^(2)))-(1)/(2)int(1)/(sqrt(t))dt,"where"(1-x^(2))=t` `=sin^(-1)x-sqrt(t)+C` `=sin^(-1)x-sqrt(t)+C`.

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