int(0)^( pi/2)sqrt(1+cos x)dx...

int_(0)^( pi/2)sqrt(1+cos x)dx

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Evaluate: int_(0)^( pi/2)sqrt(1-cos2x)dx

int_(0)^(pi//2)sqrt(1+cos2x)dx=?

Match the following. {:(I,int_(0)^(pi//2)sqrt(1-cos2x)dx=,(a),2),(II,int_(0)^(pi//2)sqrt(1+sin2x)dx=,(b),sqrt2),(III,int_(0)^(1)(x)/(1+x^(2))dx=,(c),log2),(IV,int_(0)^(pi//2)(cosx)/(1+sinx)dx=,(d),(1)/(2)log2):}

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

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