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" 68."int(0)^(oo)(log(1+x^(2)))/(1+x^(2)...

" 68."int_(0)^(oo)(log(1+x^(2)))/(1+x^(2))dx=

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int_(0)^(oo)((ln(1+x^(2)))/(1+x^(2)))dx .

" 8."int_(0)^(oo)(log x)/(1+x^(2))dx

int_(0)^(oo)(x logx)/((1+x^(2))^(2)) dx=

int_(0)^(oo)(x logx)/((1+x^(2))^(2)) dx=

int_(0)^(oo)log(x+(1)/(x))(dx)/(1+x^(2))

int_(0)^(oo)log(x+(1)/(x))(dx)/(1+x^(2))

int_(0)^(1)(log(1+x))/(1+x^(2))dx

If int_(0)^(1) (log(1+x)/(1+x^(2))dx=

int_(0)^(1)ln(1+x^(2))*dx