Which of the following integrals represents the area of the region bounded by x = 0, x = 1 and the functions f(x) = -2x^4 and g(x) = x^2?

Question

Question options:

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Answer 1

Start by drawing a graph....

Based in the graph, it looks like the desired area is the integral from x =0 to x=1 of

x^2 - (-2x^4) = ∫(x^2 + 2x^4), evaluated at x = 1