Mathematics

Mathematics

Problem

Let f(x)=2xf(x)=2x and g(x)=x2+1g(x)=x^{2}+1 on the interval [0,2][0,2]. Which of the following statements is true about the areas of the regions bounded by the graphs of the functions and the xx-axis on that interval? a) The area under ff exceeds the area under gg by 23\dfrac{2}{3}. b) The area under gg exceeds the area under ff by 23\dfrac{2}{3}. c) The area under ff exceeds the area under gg by 43\dfrac{4}{3}. d) The area under ff exceeds the area under gg by 22.

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