Asked by Rain
f(x)=x^2 - 5x +7 and g(x) 3/x
1) Indicate points of intersection
2) compute the area enclosed by the graphs of f(x) and g(x).
1) (1, 3) , (3, 1)
2)Area = ∫ [1 to 3] [(3/x) - (x^2 - 5x + 7)] dx
= [3 ln x - (1/3)x^3 + (5/2)x^2 - 7x
= 3 ln 3 - 8/3
am i doing the right thing here?
Looks to me like you've got it.
1) Indicate points of intersection
2) compute the area enclosed by the graphs of f(x) and g(x).
1) (1, 3) , (3, 1)
2)Area = ∫ [1 to 3] [(3/x) - (x^2 - 5x + 7)] dx
= [3 ln x - (1/3)x^3 + (5/2)x^2 - 7x
= 3 ln 3 - 8/3
am i doing the right thing here?
Looks to me like you've got it.
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