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Definite Integration in Mathematica
https://groups.google.com/g/comp.soft-sys.math.mathematica/c/tJC4X3BmX8M (also at x = -2), so that the Fundamental theorem cannot be used. Indeed. Limit[F[x], x -> 2 ... (x - 2 ArcTan[Sin[x]/(Cos[x] + a + Sign[a] Sqrt[a^2 - 1])])/(Sign ...
Possible error in SymPy function || GSoC
https://groups.google.com/g/sympy/c/Q9y-S0joTW8 Mar 29, 2021 ... ... (x)/2 + exp(x)*cos(x)/2). But I think it must also include a 'constant ... You can also get round the problem using a dummy limit, for example:.
limit of fraction with oscillating term in the numerator calculated ...
https://groups.google.com/g/sympy/c/h3aVz3y3n7g Nov 11, 2012 ... In [2]: limit((n+cos(n))/n,n,oo) Out[2]: nan Should be 1, due to cos ... Thus it can compute limits like cos(1/x), x->oo [b/c 1/x -> 0 ...
making range of stat_function different than base plot
https://groups.google.com/g/ggplot2/c/R-f1F7OsBg0 Feb 2, 2013 ... # limit to the base plot gets changed from 2 to 8, which is not ... 2 & x <= 8, cos(x), NA) f + stat_function(fun = g, color = "blue ...
Serious bug in integral using Maxima?
https://groups.google.com/g/sage-devel/c/zZ-RM4Y1rak Aug 18, 2009 ... Integrate::ilim: Invalid integration variable or limit(s) in x . 2. Integrate[f[x], x ] Unless you can give a explanation of what you want ...
What happens, at a high level, when you factor this expression?
https://groups.google.com/g/sympy/c/4Pt1V322RHw Jun 24, 2011 ... ... x or x*x => x**2. In this case, no such simplifications needed to be ... Out[1]: cos(x). In [2]: Derivative(sin(x), x). Out[2]:. d.
Google Code Archive - Google Code
https://code.google.com/archive/p/sympy/wikis/Examples.wiki Series expansion. ``` import sympy x=sympy.Symbol('x') e=1/sympy.cos(x) ... show( limitinf(sqrt(x**2-5*x+6)-x,x) , -Rational(5)/2 ) computed: (-5/2) ...
Math question - Google Answers
http://answers.google.com/answers/threadview/id/542904.html Jul 12, 2005 ... so the solution is f(x) = -2 Cos [ sqrt(2) ArcCos( - i x/a) ] I don't even think there's an ambiguity about the definition of ArcCos here, since ...
Google Code Archive - Google Code
http://code.google.com/p/sympy/issues/detail?id=298 Aug 12, 2007 ... ... (x)**2+sqrt(1-w)*cos(x)**2-1) assert expr.limit(w,0) == 2/(1-2*cos(x)**2). -def test_MrvLimitTestCaseWorkInProgress_page108(): # returns ...
integration-answers-15-30.ipynb - Colab
https://colab.research.google.com/github/subblue/applying-maths-book/blob/main/applying_maths_book/chapter-4/integration-answers-15-30.ipynb $$\displaystyle I=\int\cos^2(x)du=\int(1-u^2)du=u-u^3/3=\sin(x)-\sin^3(x)/2+ ... In this particular example, negating the limit gives $\displaystyle Ei(-x) ...
Google Code Archive - Google Code
https://code.google.com/archive/p/sympy/issues ID, Status, Summary. 4142, New, Wrong result from simplify Type-Defect Priority-Medium. 4141, New, ERROR limit(tan(abs(x))/acosh(x), x, pi/2, ...
A Problem with Simplify
https://groups.google.com/g/comp.soft-sys.math.mathematica/c/YBFGhc_tjKE Apr 10, 2008 ... > gives Sin[x]*Cos[x] instead Sin[2*x]/2. The workaround is ... In[2]:= Limit[Integrate[Exp[a*z]*Sinh[z],z],a->1] Out[2]= -\[Infinity ...
How to make call to latex() not evaluate its content again?
https://groups.google.com/g/sage-devel/c/J5VK1X4RSA4 Jul 26, 2023 ... ... x^n))^2,x, algorithm="maxima") 2*(x^2*cos(2*b*log(x^n) + 2*a)*sin(2*b*log(c)) + x^2*cos(2*b*log(c))*sin(2*b*log(x^n) + 2*a) - 2*(2*b^2*n^2*cos(2 ...
Evaluate $\int_0^\infty \sum^{\lfloor x\rfloor}_{n=1}\frac{\sin nx\pi}{x^n ...
http://feedproxy.google.com/~r/RecentQuestions-MathematicsStackExchange/~3/1Ka6_w_0T_Q/evaluate-int-0-infty-sum-lfloor-x-rfloor-n-1-frac-sin-nx-pixndx?utm_source=feedburner&utm_medium=email Aug 18, 2021 ... As I said in my previous comment the ⌊x⌋ in the upper limit can be written more simply as x. ... x|⌋+⌊|cosy|⌋=2. 2 · Evaluate the integral : ∫ln20 ...
Basic Calculus - Reviews
https://sites.google.com/view/math165/reviews Limits; limit rules; one-sided limits; limits involving infinity ... 2), sec(x), and tan(x). Know that antiderivatives are unique up to "+C". Use ...
w THE UNIVERSITY OF AKRON Mathematics and Computer ...
https://groups.google.com/group/tmoz/attach/19d7c410ed6c2661/c1l_t.pdf?part=0.1 Nov 6, 1998 ... (Hint: cos(x) = q. 1 − sin2(x), for −π/2 ≤ x ≤ π/2; apply Corol- lary 3.10.) Page 37. Section 4: Trigonometric Limits. Another set of limit ...
Symbolic simplification of large trig expressions
https://groups.google.com/g/sympy/c/3y6orHV2_4k heavily). Looking at your expressions, I think the main simplifications that are happening are these: a*sin(x)**2 + a*cos ...
NMinimize problem: fct minimized uses FindRoot
https://groups.google.com/g/comp.soft-sys.math.mathematica/c/3gD3sWRKyzE a recursion limit error. Rather than post my actual functions that are ... FindRoot[Sin[x] + Cos[x]/2, {x, 0.1}]] NMinimize[numFct[var], {var, 0, 6}]
Improving subs (issue 2026)
https://groups.google.com/g/sympy/c/ShnQ859R_aY (http://code.google.com/p/sympy/issues/detail?id=2026). Basically, the following breaks the preprocessing code in risch_integrate: In [1]: exp(2*x).subs(exp(x) ...
sympy - issue #2856
https://code.google.com/archive/p/sympy/issues/2856 Nov 19, 2011 ... sympy - issue #2856. limit(x**16/(x**16 + 1), x, oo) fails. Posted ... as_leading_term(x) -> 2*x/sqrt(pi); cos(1/x + x).as_leading_term(x) ...