" (5) "sqrt(746)" anfart "f(x)int(0)^(1)...

" (5) "sqrt(746)" anfart "f(x)int_(0)^(1)(log(1+x)dx)/(1+x^(2))=(pi)/(8)log2

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

int_(0)^(1)(log|1+x|)/(1+x^(2))dx=(pi)/(8)log2

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

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

int_(0)^(1)(logx)/(sqrt(1-x^(2)))dx=-(pi)/(2)(log2)

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

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

int_(0)^(1)((sin^(-1)x)/(x))dx=(pi)/(2)(log2)

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

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