Question: How to find the value?

How to find the value of alpha and beta?

restart

u := proc (x) options operator, arrow; sin(x)+cos(x)-4*x+(alpha-4)*x end proc; v := proc (x) options operator, arrow; sin(x)-cos(x)+beta end proc; `assuming`([solve({alpha = int(u(t)+v(t), t = 0 .. Pi), beta = int(u(t)-v(t), t = 0 .. Pi)}, {alpha, beta})], [alpha <> 0, beta <> 0])

{alpha = 4+beta*Pi+(1/2)*alpha*Pi^2-4*Pi^2, beta = -beta*Pi+(1/2)*alpha*Pi^2-4*Pi^2}

(1)

``

thank you for helping

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