Find the coordinates of all the critical points and inflection points of g.
http://www.webassign.net/hgmcalc/6-1-15fig.gif
f(0) = -1
f(7) = -1
(a) Find integral from 0 to 7, f'(x)dx.
I think it is 1 but it is not.
integral
2010-04-24 12:49 pm
回答 (2)
2010-04-24 6:30 pm
✔ 最佳答案
Consider the area between y=f'(x) and y=0 from x=0 to 7.So ∫[0~7] f'(x) dx
=∫[0~2] f'(x)dx+∫[2~3] f'(x) dx+∫[3~4]f'(x) dx+∫[4~6]f'(x)dx+∫[6~7]f'(x)dx
= 2-1+2-4+1=0.
Note:Cannot apply ∫[a~b] f'(x)dx=f(b)-f(a), though the answer is correct.
2010-04-24 4:32 pm
1. What is g?
2. For (a), to find integral of f'(x)dx or f(x)dx?
2. For (a), to find integral of f'(x)dx or f(x)dx?
收錄日期: 2021-04-25 22:37:26
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