Let . If is the average value of on and is the average value of on , what is the…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let g(x)=x2g(x)=x^2. If gˉ1\bar g_1 is the average value of gg on [0,1][0,1] and gˉ2\bar g_2 is the average value of gg on [1,2][1,2], what is the ratio gˉ2:gˉ1\bar g_2:\bar g_1? (a) 7:37:3 (b) 1:71:7 (c) 7:17:1 (d) 5:15:1

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