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

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

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

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

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

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

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

int_(0)^(1/sqrt2)(dx)/(sqrt(1-x^(2)))

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

Let I_(1)=int_(1)^(2)(x)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then

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