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" 13."log(8)^(2)x sin3xdx...

" 13."log_(8)^(2)x sin3xdx

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intx^(2)sin3xdx =

int cos^(3)x sin3xdx

The minimum value of f(x)=2^(((log_(8)3)))cos^(2)x+3((log_(8)^(2)))sin^(2)x_( is )

int_(0)^(4)sin2x sin3xdx

inte^(4x)sin3xdx

inte^(4x)sin3xdx

Example: e^(2)x sin3xdx

int cos^(3)x sin2xdx

The minimum value of f(x)=2^((log_(8)^(3))cos^(2)x)+3^((log_(8)^(2))sin^(2))x is

int_(0)^(pi//2)x^(3)sin3xdx