Integral oddity
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07-31-2016, 09:06 PM
Post: #1
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Integral oddity
Integral 1/(x^2 * sqrt(x^2 + 4)) should be (-sqrt(x^2 + 4))/4*x
The prime gives (-x -sqrt(x^2 + 4))/4*x after factorizing or after simplifying. Is this a bug? |
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07-31-2016, 09:07 PM
Post: #2
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RE: Integral oddity
Version 2016 04 14 (10077)
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07-31-2016, 09:14 PM
Post: #3
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RE: Integral oddity
When integrating over a specific range such as pi/6 to pi/4, the exact answer converts to a correct approximate answer of ~.303
Am I missing something? |
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08-01-2016, 06:17 AM
Post: #4
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RE: Integral oddity | |||
08-01-2016, 10:08 PM
Post: #5
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RE: Integral oddity
I must be math challenged/rusty...is not the "-x" that Prime produced a variable? How are the 2 answers equivalent?
What has me befuddled is that when made into a definite integral, Prime reports a correct answer. |
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08-01-2016, 11:14 PM
(This post was last modified: 08-01-2016 11:17 PM by Dieter.)
Post: #6
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RE: Integral oddity
(08-01-2016 10:08 PM)lrdheat Wrote: I must be math challenged/rusty...is not the "-x" that Prime produced a variable? How are the 2 answers equivalent? If you simplify the Prime result... Code: –x – sqrt(x²+4) ...you get the same antiderivative plus a constant. Dieter |
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08-02-2016, 02:10 AM
Post: #7
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RE: Integral oddity
Thanks!
For some reason, I was seeing the denominator as "4" instead of "4*x". |
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