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Let f(x) and g(x) are 2 differentiable f...

Let f(x) and g(x) are 2 differentiable functions satisfying `f(x)+3g(x) = x^2 + x+6 2 f(x)+4 g(x) = 2 x^2 + 4.`If `J=int_(-pi/4)^(pi/4)`In `(g(tan^2 x)-f(tan x)-8)d x,` then find the value of `(3 pi In 2)/J.`

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