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Interesting Integral Illation (Posted on 2023-04-06) Difficulty: 3 of 5
Evaluate this definite integral:

 ∫ x2*(1+x4)-1 dx

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.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre: Some analytic progress - Final formulaBrian Smith2023-04-07 18:30:43
Some ThoughtsSome analytic progressBrian Smith2023-04-07 11:40:06
an observationLarry2023-04-07 08:43:46
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