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Update FFTOC4.tex #994

Closed pfatheddin closed 2 months ago

pfatheddin commented 2 months ago

https://ximera.osu.edu/mooculus/firstFundamentalTheoremOfCalculus/exercises/exerciseList/firstFundamentalTheoremOfCalculus/exercises/FFTOC4

I changed all F to B. F(x) is the notation we usually use for antiderivative of f(x). I think B is more appropriate for this expression.

bwramsey commented 2 months ago

F in the question IS an antiderivative of f.

pfatheddin commented 2 months ago

I see. This problem is using the first fundamental theorem of calculus. Students see this theorem as the derivative of integral of f from a to x and the second theorem of calculus as integral of f from a to b. I still think this form can be misleading and most probably don't pause and think of first fundamental theorem of calculus here but I leave it to you.