`int sin^(4)x*dx`

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int sin^(4)(x/2)dx

int sin^(4)x*cos^(3)x*dx

int_(0)^( pi/4)sin^(4)x*dx

int sin ^ (4) (2x) dx

int(sin^(4)x*cos x)dx

If the anti derivative of int(sin^(4)x)/(x)dx is f(x) then int(sin^(4)(p+q)x)/(x)dx in terms of f(x) is

int (sin ^ (4) x) / (cos ^ (8) x) dx

int_(0)^(pi) x sin^(4) x dx is equal to

int( sin x*cos^(4)x)dx