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

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

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" 0."int_(1/2)^(1)(dx)/(x^(2)sqrt(1-x^(2)))

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

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

int _(0) ^(1//2) dx/((1-2x^(2))sqrt(1-x^(2)))=

int_(-1)^(1)(x)/(sqrt(1-x^(2)))*sin^(-1)(2x sqrt(1-x^(2)))dx is equal to

int_(0)^(1)(log x)/(sqrt(1-x^(2)))dx

int_(0)^(1)x^(2)sqrt(1-x^(2))dx=

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

int_(0)^(1//2)(dx)/((1+x^(2))sqrt(1-x^(2))) is equal to

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