Let be continuous on with average value

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

Problem

Let ff be continuous on [a,b][a,b] with average value fˉ\bar f. What is the average value of the function g(x)=f(x)+kg(x)=f(x)+k on the same interval [a,b][a,b]? (a) fˉ+k\bar f+k (b) fˉ\bar f (c) fˉ+k (b−a)\bar f+k\,(b-a) (d) kk

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