" (क) सिद्ध कीजिए कि ":int(0)^(1){(log{(...

" (क) सिद्ध कीजिए कि ":int_(0)^(1){(log{(1+x))/((1+x^(2)))}dx=(pi)/(8)log2

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

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

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

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

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

Prove that : int_(0)^(1) (log x)/(sqrt(1-x^(2)))dx=-(pi)/(2)log 2

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

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

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

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