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Questions on the use of numerical functions NIntegrate and NDSolve.
6
votes
3
answers
6k
views
Solve for variable in integral limit when using NIntegrate
I am trying to solve for a variable which appears in the limits of an integral, rather like in the following;
Clear[f, a, x]
f[a_] := Integrate[x^2 + a x, {x, 0, a }]
f[Power[6, (3)^-1]]
NSolve[5 == …
2
votes
1
answer
442
views
Differentiating a function that has NIntegrate within it
I am something of a novice with Mathematica. I have written the following code;
Clear[band, en, w, fermi, k, T, S, a]
k = 86*10^-6;
T = 4000;
band[en_, w_] := 10000 Exp[-en^2/2 w^2];
fermi[en_, ef_] …