integral bug in xCas or HP PRIME
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07-31-2020, 11:14 AM
Post: #4
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RE: integral bug in xCas or HP PRIME
Paradoxically, simple substitution x=s*t eliminated the bug
XCas> f := exp(-s*t)*t*ln(t) XCas> g := subst(f, t=x/s) / s // dt = dx/s ⇒ f dt = g dx XCas> G := int(g, x) // G = (-exp(-x)+ln(x/s)*exp(-x)*(-x-1)+Ei(-x))/s^2 XCas> F := subst(G, x=t*s) // F = (-exp(-s*t)+ln(t)*exp(-s*t)*(-s*t-1)+Ei(-s*t))/s^2 XCas> simplify(diff(F,t) - f) // 0 ⇒ F = ∫ f dt |
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