perplexus.info :: Just Math : Find these constants I

Find these constants I (Posted on 2005-11-10)

Given that

 k=∞          1           A*B-C*D
Σ    ------------------ = -------
 k=0 (3k+1)(3k+2)(3k+3)      E

where A, B, C, D and E are, in some order, the number π (pi), the square root of an integer, the natural logarithm of an integer, and two integers, find their values.

See The Solution Submitted by pcbouhid

Rating: 3.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

You will need this...

| Comment 9 of 11 |

After spliting the fraction, you will need this:

1
-------- = INT(x^3k)dx
(3k+1)

where INT is the definite integral from 0 to 1.

Posted by pcbouhid on 2005-11-12 22:07:52

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