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" 2.Eualuate "int(0)^( pi)log(1-cos x)dx...

" 2.Eualuate "int_(0)^( pi)log(1-cos x)dx

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int_(0)^((pi)/(2))log(cos x)dx=

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

int_(0)^( pi)(dx)/(1+cos x)

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

int_(0)^(pi)log(1+cosx)dx=-pi(log2)

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

int_(0)^( pi/2)ln(sin^(2)x cos x)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^( pi)log(1+cos x)dx