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#1 2007-07-04 05:33:47
- malcolm mellor
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integration
how do i solve:
3x²-8x+6 ?
please help quick !!!
#2 2007-07-04 06:05:48
- yonski
- Member
- Registered: 2005-12-14
- Posts: 67
Re: integration
I assume by solve you mean find the integral? In that case it's:
x³ - 4x² + 6x + C
Student: "What's a corollary?"
Lecturer: "What's a corollary? It's like when a theorem has a child. And names it corollary."
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#3 2007-07-04 07:25:06
- Ricky
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- Registered: 2005-12-04
- Posts: 3,791
Re: integration
I assume by solve you mean find the integral?
Not to be nit-picky, but that's either the anti-derivative or indefinite integral.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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#4 2007-07-04 09:56:27
- yonski
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- Registered: 2005-12-14
- Posts: 67
Re: integration
Indeed, but since he gave no limits, I thought that much was obvious.
Student: "What's a corollary?"
Lecturer: "What's a corollary? It's like when a theorem has a child. And names it corollary."
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#5 2007-07-05 05:43:17
- John E. Franklin
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- Registered: 2005-08-29
- Posts: 3,588
Re: integration
Why is it called INdefinite and not definite, when the limits are defined on both ends?
igloo myrtilles fourmis
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#6 2007-07-05 05:48:27
- JaneFairfax
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- Registered: 2007-02-23
- Posts: 6,868
Re: integration
is an indefinite integral.
is a definite integral.
The two are related by the fundamental theorem of calculus.
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#7 2007-07-05 08:33:45
- Ricky
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- Registered: 2005-12-04
- Posts: 3,791
Re: integration
Because the indefinite integral is not definite. For example, the indefinite integral of sin(x) is cos(x) + C. That "plus C" makes it indefinite.
A definite integral has an exact value. It is definite.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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