" If "I=int_(0)^( pi)ln(1-2a cos x+a^(2))dx" where "I=lambda" Ina,then "lambda" is equal to "

If I(m)=int_(0)^( pi)ln(1-2m cos x+m^(2))dx then I(1)=

Find I=int_(0)^( pi)ln(1+cos x)dx

int_(0)^(2pi) ln (1+Cos x) dx=

If I(m) = int_0^pi ln(1-2m cos x + m^2)dx , then I(1)=

I=int_(0)^(2 pi)cos^(-1)(cos x)dx

If int_(0)^(1)cot^(-1)(1-x+x^(2))dx=lambda int_(0)^(1)tan^(-1)xdx, then lambda is equal to 1( b) 2(c)3(d)4

If the value of the definite integral int_(0)^(1)((e-1)sqrt(ln(1+(e-1)x))+e^(x^(2)))dx is e^(lambda) then lambda is equal to

int_(0)^( pi)cos2x*log(sin x)dx