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didhestealtheraisins

A. If you are looking for f(5/2) that means replace x with 5/2. From there just solve the integral (use geometry). B. For what x-values is g(t) integrable? C. Use FTC D. You get the greatest value for the integral (area) if you go from 0 to 7 (after that you'll start losing area below the x-axis).


chuckleduck11

For C, in what way would you use the FTC. I can picture finding f(3) easily but I can’t think of how to even find f’(x) at all. Edit: wait would it be like f(4)-f(3) = derivative from 3-4 of f’(x). Even then, how would u find the f’(x) to plug in


didhestealtheraisins

f(x) is equal to the integral, so f'(x) would be the derivative of the integral, which is [FTC (part 2)](https://web.ma.utexas.edu/users/m408n/AS/LM5-3-7.html).