सिद्ध कीजिए- int(0)^(1) (log(1+x))/(1+x...

सिद्ध कीजिए- ` int_(0)^(1) (log(1+x))/(1+x^(2))dx=(pi)/(8)log 2`

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

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

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

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

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

Show that int_0^1(log(1+x))/(1+x^2)dx=pi/8log2

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

Using property of define integrals, prove that : int_(0)^(1) (log(1+x))/(1+x^(2))=(pi)/8log2

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