`int_(0)^(pi//2)x cosx " " dx = `

int_(0)^(pi)[cosx]dx=

int_(0)^(pi//2)log(cosx)dx=

int_(0)^(pi/6) sin2x . cosx dx

int_(0)^(pi/6) sin2x . cosx dx

int_(0)^(pi/6) sin2x . cosx dx

int_(0)^(pi/6) sin2x . cosx dx

If int_(0)^(pi//2) log(cosx) dx=pi/2 log (1/2), then int_(0) ^(pi//2) log (sec x ) dx =

If I_(1)=int_(0)^(pi//2)f(sin2x)sin x dx and I_(2)=int_(0)^(pi//4)f(cos2x)cosx dx , then I_(1)//I_(2) is equal to

If I_(1)=int_(0)^(pi//2)f(sin2x)sin x dx and I_(2)=int_(0)^(pi//4)f(cos2x)cosx dx , then I_(1)//I_(2) is equal to

int_(0)^(pi)|cosx|dx=?