AP / AB Calculus Test - Sample Questions 17 & 18
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I GOT 4 AS MY GRADE YEY! you helped me so thank you!
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@cyborg939 , it is F(5)-F(1)/b-a, please note the capital letters used.
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ahhh your left handed lol
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YOU ARE MY Fav!
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Why don't you do f(5)-f(1)/(5-1)? Isn't that the average value theorem? In this case, it does produce a different answer. The formula you used is the mean value theorem. Is there a difference and how do you choose which formula to use?
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you friends with Sal? you guys are awesome
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i would not substitute, just FOIL the function out and simplify it, then integrate it normally.
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you probably get this a lot but you're freakin' smart!
reighteeen 1 year ago
@reighteeen i am probably not the mostest stupidest person in the wurld at least
patrickJMT 1 year ago 3
how do you know when you have to do U substitution
luckystarlover14 2 years ago
that is the hard part about integration, it is sometimes not obvious what to do.
if i see something that is the derivative of something else (in the integrand), then u sub often is the trick to use
patrickJMT 2 years ago
I've known how to do this, but after watching something hit me: It's best to change the limits to U-limits as well and not to resub back in for u and use the original limits. But what about the original 1/(b-a) in the beginning? Should those also have to be changed?
AlphaFalconX 2 years ago
you say:
It's best to change the limits to U-limits as well and not to resub back in for u and use the original limits
that is up for debate i think! it is all the same to me...
however, it is notationally incorrect to do a u-sub and use the original limits; it is just not right anymore! you can always revert back to the original limits.
in regards to the 1/(b-a) <----- this is just a constant, so all the substitutions in the world will not change its value!
patrickJMT 2 years ago