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If int (0)^(pi//2) sin^(6) dx = (5pi)/32...

If `int _(0)^(pi//2) sin^(6) dx = (5pi)/32 ,` then the value of
` int _(-pi)^(pi) (sin ^(6) x + cos^(6)x)dx` is

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If int_(0)^(pi//2)sin^(6)xdx=(5pi)/(32) , then the value of int_(-pi)^(pi)(sin^(6)x+cos^(6)x)dx is --

int_(-pi/2)^(pi/2) sin^(4)x. cos^(6)x dx =

int_0^(pi/2) sin^6x dx

int_(-pi//2)^(pi//2) sin^(4)x.cos^(6) x dx=

int_(0)^((pi)/(2)) sin^(6)x cos^(6)x dx

int_(0)^(2pi) x sin^(6) x cos^(5) x dx=

int_(0)^(pi//2) sin^(6) x.cos^(5) x dx=

int_(0)^(pi/2)sin^(6)x cos^(5)xdx=

If int_(0)^(pi//2) sin^(6) x dx = (pi)/(32) then int_(-pi)^(pi) (sin^(6)x + cos^(6) x)dx=