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The divisors (aliquot parts) of a positive integer 2019-10-31
Kenneth pose la question :
Is there a fast and simple method that can be used to determine the aliquot parts, whole, positive numbers that can divide into another whole, positive number?
Harley Weston lui répond.
Partitions into distinct parts 2015-09-19
Brian pose la question :
Looking for a formula where I can type in a number, 17 for example, and using the numbers 1 through 17 (1, 2, 3, 4 etc....), to come up with all possible combinations, when added, that will equal 17. And each number can only be used once. I've tried a few search engines but my computer stares at me blankly and scratches its head :-/.
Chris Fisher lui répond.
The integral of sqrt(x) * ln(x) 2009-10-12
Oana pose la question :
Hi! Can you tell me please how much is : ∫ (√x * ln x) ?
Penny Nom lui répond.
Integration 2008-10-17
hazela pose la question :
integration of

x sinx cosnx

Harley Weston lui répond.
Integration by parts 2008-01-30
seth pose la question :
hi i really dont understand integr ation by parts. for example, the integral(t^2sintdt. i have u=t^2 and v'=sint also u'=t^/3 v=-cost for the formula i have uv-integralvu' dx this is all well and good but i cant get it right.
Harley Weston lui répond.
Integration 2007-02-02
Jenna pose la question :
How do I integrate ( ln(x) ) / ( x^2 ) ?
Penny Nom and Claude Tardif lui répond.
Can one divide a circle into 4.5 parts 2006-03-30
Chris pose la question :
If it is possible, can one divide a circle into say, 4.5 parts (with 4 equal parts and a half part)?
Or for that matter, for any integer, n, into n/2 parts as above?]

Walter Whiteley lui répond.
Integrating e^x sin(x) 2003-05-03
Lech pose la question :
I am having trouble integrating the following expression by parts:

ex sin(x)

I used the integrator at http://www.integrals.com/ to find the solution,

? 1/2 ex cos(x) + 1/2 ex sin(x).

This is easy to confirm by differentiation, however I am confounded as how to arrive at the answer.


Penny Nom and Claude Tardif lui répond.
Dividing a circle 2001-10-17
Ahmeen pose la question :
I am having a hard time figuring out how a circle can be divided into 11 equal parts with only 4 cut allowed? My teacher gave this to us and I still can't cut my pie into eleven equal parts with only four cuts.
Walter Whiteley lui répond.
Integration by parts 2001-04-09
A student pose la question :
how do you integrate x tan-1x dx, i know it can be done by integration by parts maybe, but i'm not sure....
Claude Tardif and Harley Weston lui répond.
Two integrals 2001-04-03
Jim pose la question :
I'm having trouble with these integrals. Can you help me out?

1)the integral of:

x5 arctan x dx

2)the integral of:

2x5 + 9x4 + 19x3 + 13x2 - 5x - 25
----------------------------------------------- dx
x4 + 4x3 + 5x2


Claude Tardif lui répond.
Congruent parts of congruent figures 2000-03-10
Erica pose la question :
Yesterday, I recieved a test problem asking to prove two line segments equal. Here is the problem as I was given it:

Given: paralleogram ABCD
AE is perpendicular to DB
CF is perpendicular to DB
Prove: AE is equal to CF

I answered the problem as follows:
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Walter Whiteley lui répond.

 
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