int_(0)^(sqrt(4))sqrt(1-cos2x)dx

Prove int_(0)^(400 pi)sqrt(1-cos2x)dx=800sqrt(2)

The value of the integral int_(0)^(400pi) sqrt(1-cos2x)dx , is Asqrt(2) . then find the value of A .

Evaluate: 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//4)sqrt(1+cos2x)dx

int_(0)^(100pi)sqrt(1-cos2x)dx=

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

Evaluate : (i) int_(0)^(pi//4)sqrt(1+sin2x)\ dx (ii) int_(0)^(pi//2)sqrt(1+cos2x)\ dx