Mathematics · Definite Integrals and Calculus
Let f be a differentiable function satisfying: f(x) = 1 − 2x + ex ∫0x e−tf(t) dt, x ∈ &mathbb;R. Define g(x) = ∫0x (f(t) + 2)13 (t − 3)4 (t + 10)11 dt. If p and q are respectively the points of local minima and local maxima of g, then find the value of |p + q|.
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