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" (vii) "int(0)^((pi)/(4))sin2x sin3xdx...

" (vii) "int_(0)^((pi)/(4))sin2x sin3xdx

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int_(0)^((pi)/(4))sin x cos xdx

int_ (0) ^ ((pi) / (2)) sin x sin2xdx

int_(0)^((pi)/(2))sin^(2)x cos^(3)xdx=

int_(0)^(pi//4)sin2xsin3xdx

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

int_(0)^((3pi)/(4))sin^(2)xcos^(2)xdx

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

The value of the definite integral int_(0)^((pi)/(2))sin x sin2x sin3xdx is equal to :

int_(0)^( pi/4)sin xdx

int_(0)^((pi)/(2))sin^(4)x cos^(4)xdx