Challenge Problem:

Moderator approved CB

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- Dec 4th 2010, 08:20 AMRandom Variableindefinite integral
Challenge Problem:

Moderator approved CB - Dec 4th 2010, 10:33 AMRandom Variable
My solution is only valid for certain intervals.

- Dec 4th 2010, 07:49 PMTwistedOne151
For the interval x>0, we can use the u-substitution

, so that

,

,

.

Thus,

--Kevin C. - Dec 5th 2010, 08:02 AMRandom Variable
My solution looks different, but it only differs by a constant.

where - Dec 5th 2010, 08:17 AMRandom Variable
But the function we're integrating is even, so for x<0, , no?

- Jan 26th 2011, 12:33 PMKrizalid
hadn't even seen this section about challenge problems, it's pretty interesting.

perhaps this is one of the hardest integral i've ever seen, but with a little of magic we can take it down easily.

note that

whereat the substitution will solve the problem.