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`

सिद्ध कीजिए- int(0)^(1) (log(1+x))/(1+x^(2))dx=(pi)/(8)log 2
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int(a=)^(oo)ln(x+(1)/(x))(dx)/(1+x^(2))dx=(pi)/(2)ln a then
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(int(0)^(1)ln x ln(1-x)dx)/(int(0)^((1)/(sqrt(2)))x ln x ln(1-x^(2))dx...
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Using integral int(0)^(-(pi)/(2))ln(sin x)dx=-int(0)^( pi)ln(sec x)dx=...
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int(0)^(1)(log|1+x|)/(1+x^(2))dx=(pi)/(8)log2
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सिद्ध कीजिए- int(0)^(1) (log(1+x))/(1+x^(2))dx=(pi)/(8)log 2
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सिद्ध कीजिये - int(0)^(1)(log(1+x))/(1+x^(2))dx=(pi)/(8)log2
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सिद्ध कीजिए की int(0)^(pi//2) log cos x dx = int(0)^(pi//2) log(e) (...
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सिद्ध कीजिए कि int(0)^(pi) log (e) (1+ cos x) dx=pi log (c)((1)/(2))
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