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int(0)^( pi/2)sin2xdx...

int_(0)^( pi/2)sin2xdx

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int_(0)^( pi/2)sin xdx

int_(0)^( pi/2)sin xdx=

int_(0)^( pi/2)sin xdx

int_(0)^( pi/2)sin xdx

int_(0)^( pi/2)sin^2xcos xdx

Show that: int_(0)^( pi/2)f(sin2x)sin xdx=sqrt(2)int_(0)^( pi/4)f(cos2x)cos xdx

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int_0^(pi/2) (sin^2xdx)/(sinx+cosx)

int_(0)^( pi/2)(sin^(2)xdx)/(sin x+cos x)=

Find the value of int_(0)^(pi//2)sin2xlogtan xdx .