Integral crash
01-06-2023, 08:17 PM
Post: #5
 Albert Chan Senior Member Posts: 2,239 Joined: Jul 2018
RE: Integral crash
Hi, parisse

XCas 32-bits version is still 1.9.0-22 though (when will it catch up 64-bits versions?)

Bonus, result is a lot less messy than expected

XCas> 2*cos(pi/12)* ∫(cos(pi/12-x) / (cos(x)*cos(pi/6-x)), x = 0 .. pi/12)

$$\displaystyle - \frac{\left(\sqrt{2}+\sqrt{6}\right) \left(-\sqrt{2} \ln \left(\frac{\sqrt{2}}{2}\right)+\sqrt{2} \ln \left(\frac{\sqrt{6}}{2}\right)+\sqrt{6} \ln \left(\frac{\sqrt{2}}{2}\right)-\sqrt{6} \ln \left(\frac{\sqrt{6}}{2}\right)\right)} {4}$$

XCas> simplify(ans())      → (-ln(2)+ln(6))/2
XCas> simplify(ans())      → ln(3)/2

Also, plotfunc for plot fixed the color/legend issues.
What is the difference between the two?
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 Messages In This Thread Integral crash - Albert Chan - 01-06-2023, 04:18 PM RE: Integral crash - rawi - 01-06-2023, 05:11 PM RE: Integral crash - Albert Chan - 01-06-2023, 06:31 PM RE: Integral crash - parisse - 01-06-2023, 06:53 PM RE: Integral crash - Albert Chan - 01-06-2023 08:17 PM RE: Integral crash - Albert Chan - 01-06-2023, 10:18 PM RE: Integral crash - Albert Chan - 01-08-2023, 07:45 PM RE: Integral crash - parisse - 01-08-2023, 10:10 PM

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