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Results tagged with calculus-and-analysis
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user 64100
Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.
1
vote
1
answer
112
views
Can Mathematica Accurately Integrate the Absolute Value of Functions?
I have a function, and I want to find the antiderivative of the absolute value of a function $|f(x)|$.
Integrate[Abs[(6 + 5 Sin[3 x] + 7 Sin[4 x])^2 - 0.5], x, Assumptions -> Element[Alternatives[x], …
- 231
3
votes
1
answer
110
views
Error in Creating Orthogonal Polynomials
I'm trying to create my own set of polynomials orthogonal to weight $w(x)=x^{14}$ on $[-a,a]$. My code:
N1=10;
Int0[n_,x_]=Integrate[x*(DUO[n])^2*x^14,x];
Int1[n_,x_]=Integrate[(DUO[n])^2*x^14,x];
DU …
- 231
3
votes
1
answer
71
views
Non-Convergence In Creating Legendre Series
I'm trying to use Mathematica to create a Legendre-Fourier series using this Wikipedia article. Here is my code:
N1=1;
degree=10;
Fun=(-(N1^2 x) + (2 N1^2 x ArcTan[10000 N1^2 x])/Pi)/2;
Coefs=Constan …
- 231