Benzin
Member
+576|6416
I've got some real issues with integrals right now, mostly with the definite integrals. Anyone here have a really good site (in German or English, though preferably English) that they can recommend that kinda explains it all out? My math professor wrote his own "book" that is really just a collection of formulas with no real explanations.

Hopefully someone out there has some good study material. I've been searching like mad and have yet to be able to find anything. I got a test about integrals on Monday morning - HELP!!!!

(karma for help?, lol)
Finray
Hup! Dos, Tres, Cuatro
+2,629|6205|Catherine Black
Liq's quite good at Maths. PM him.
https://i.imgur.com/qwWEP9F.png
Bevo
Nah
+718|6938|Austin, Texas
I'm pretty decent at them. Is this high school or college calc? Makes a big difference.
Jenspm
penis
+1,716|7149|St. Andrews / Oslo

I don't know of a site, but post specific questions or tasks and I'm sure a few of us can help.
https://static.bf2s.com/files/user/26774/flickricon.png https://twitter.com/phoenix/favicon.ico
Benzin
Member
+576|6416
The problem is that I have a laundry list of issues. My book is just horribly written and I cannot seem to find any website that actually explains it all out.

It's university-level calculus, btw. My biggest problem is this: How do you solve a Definite Integral? From start to finish. What do you do with the interval numbers/variables on the left side of the equation? How do you get to the final result???
Peter
Super Awesome Member
+494|6819|dm_maidenhead
Example of a question?
Bertster7
Confused Pothead
+1,101|6999|SE London

CapnNismo wrote:

The problem is that I have a laundry list of issues. My book is just horribly written and I cannot seem to find any website that actually explains it all out.

It's university-level calculus, btw. My biggest problem is this: How do you solve a Definite Integral? From start to finish. What do you do with the interval numbers/variables on the left side of the equation? How do you get to the final result???
Put it in a calculator - that's what I always used to do for definite integration....

What's this for anyway? You do something computer related don't you? Is it fourier, leplace, Z transforms - something like that?

Karmaz for anyone who can guess what this equation I still remember from uni represents:

F = dm/dt Ve + Ae(Pe-Pamb)

Isp = F/(g dm/dt)

Which gives - V = g Isp loge[Mr]
Benzin
Member
+576|6416
Yea, I only have a scientific calculator. As far as I know, we're not allowed to use any kind of a graphing calculator on the test.

Question:

a = 3 , b = 17 (integral values)

(3x + 1)^4 dx

Can you guys solve that?



Here's another:

a = 0 , b = 1

(x + 1)/(x - 3)(x - 7) dx
Bertster7
Confused Pothead
+1,101|6999|SE London

CapnNismo wrote:

Yea, I only have a scientific calculator. As far as I know, we're not allowed to use any kind of a graphing calculator on the test.

Question:

a = 3 , b = 17 (integral values)

(3x + 1)^4 dx

Can you guys solve that?



Here's another:

a = 0 , b = 1

(x + 1)/(x - 3)(x - 7) dx
Most scientific calculators do it. You don't need a graphical one.

To be honest, I can't remember much about definite integration. When you say a and b, do you mean the lower and upper limits?

I can't remember what you do for the definite side of things, because as I say, I always used to do that on a calculator - but I think the 1st one will be: (1+3x)5/15

Then you do something for the limits to get a definite answer....
Flaming_Maniac
prince of insufficient light
+2,490|7124|67.222.138.85

Bevo wrote:

I'm pretty decent at them. Is this high school or college calc? Makes a big difference.
definite integrals are high school calculus

Take the general integral as normal. Then once you have the equation, substitute in the limits and subtract the lower limit from the upper limit.

For example, the integral of f'(x) from three to five is f(5) - f(3).

Also, http://www.wolframalpha.com/
S.Lythberg
Mastermind
+429|6864|Chicago, IL

Flaming_Maniac wrote:

Bevo wrote:

I'm pretty decent at them. Is this high school or college calc? Makes a big difference.
definite integrals are high school calculus

Take the general integral as normal. Then once you have the equation, substitute in the limits and subtract the lower limit from the upper limit.

For example, the integral of f'(x) from three to five is f(5) - f(3).

Also, http://www.wolframalpha.com/
Wolfram is good, i have them bookmarked from back in HS
Flaming_Maniac
prince of insufficient light
+2,490|7124|67.222.138.85
I didn't know about wolfram until late high school, but then again I didn't have to the homework either. I cringe to think what college would be like without it.
HaiBai
Your thoughts, insights, and musings on this matter intrigue me
+304|5901|Bolingbrook, Illinois

S.Lythberg wrote:

Flaming_Maniac wrote:

Bevo wrote:

I'm pretty decent at them. Is this high school or college calc? Makes a big difference.
definite integrals are high school calculus

Take the general integral as normal. Then once you have the equation, substitute in the limits and subtract the lower limit from the upper limit.

For example, the integral of f'(x) from three to five is f(5) - f(3).

Also, http://www.wolframalpha.com/
Wolfram is good, i have them bookmarked from back in HS
Wasn't it released like 2-3 months ago..?
Flaming_Maniac
prince of insufficient light
+2,490|7124|67.222.138.85
not the beta version for sure
rdx-fx
...
+955|7008
MIT has their OpenCourseWare lectures on iTunes

http://deimos3.apple.com/WebObjects/Cor … 1298638897

Filmed lectures for the calculus courses at MIT (opens in iTunes)
MIT 18.01 Single Variable Calculus for Calculus I, as an example.
They have Calculus I - Single Variable, Calculus II - Multi Variable, Calculus III - Diff Eq, Linear Algebra, amongst other classes.
All online for download, each individual lecture is labeled per subtopic, and an individual file in iTunes.

and

MIT OpenCourseWare companion website With solutions, examples, exam answers, and the same videos from iTunesUniversity.  This URL is NOT iTunes, it's MIT's OCW (Open Course Ware) site.

MIT Open Course Ware root site
S.Lythberg
Mastermind
+429|6864|Chicago, IL

HaiBai wrote:

S.Lythberg wrote:

Flaming_Maniac wrote:

definite integrals are high school calculus

Take the general integral as normal. Then once you have the equation, substitute in the limits and subtract the lower limit from the upper limit.

For example, the integral of f'(x) from three to five is f(5) - f(3).

Also, http://www.wolframalpha.com/
Wolfram is good, i have them bookmarked from back in HS
Wasn't it released like 2-3 months ago..?
nope, there have been older versions

Also, if you have any specific questions, feel free to ask, many people here (including myself) are in math heavy fields and would likely be able to help you.

Last edited by S.Lythberg (2009-11-14 21:05:51)

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