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John H
Lv 5
Average Value- Quick Question Please Help.?
Find the average value of f(x)= (3/x^5)+8x on the interval [1,2]
1 Answer
Relevance
- Anonymous9 years agoFavourite answer
2
∫ 3*(x^(-5)) + 8x dx = (-(3/4) * x^(-4)) + 4x^2 from 1 to 2
1
Evaluated at 2 this is (-3/64) + 16 = (1021 / 64)
Evaluated at 1 this is (-(3/4) + 4) = (13/4) = (208/64)
((1021 - 208) / 64) / 1 = (813 / 64) <------- Answer in simplified form.
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