Mathematics

Mathematics

Problem

If y=g(x)y = g(x) is the inverse of a bijective mapping f:R→Rf: \mathbb{R} \to \mathbb{R}, f(x)=6x5+4x3+2xf(x) = 6x^5 + 4x^3 + 2x, find the area bounded by g(x)g(x), the x-axis and the ordinate at x=12x = 12.

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