Interesting Integral Illation (Posted on 2023-04-06)

Evaluate this definite integral:

 n
 ∫ x2*(1+x4)-1 dx
1/n

where n is a real number greater than 1.

	Submitted by K Sengupta
Rating: 5.0000 (1 votes)
Solution:	(Hide)
pi - 2*arctan[(sqrt(2)*n)/(n^21)])/(2*sqrt(2)) For an explanation, refer to the solution submitted by Brian Smith here and here.

	Subject	Author	Date
	re: Some analytic progress - Final formula	Brian Smith	2023-04-07 18:30:43
	Some analytic progress	Brian Smith	2023-04-07 11:40:06
	an observation	Larry	2023-04-07 08:43:46