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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 == …
NLambert's user avatar
  • 331
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_] …
NLambert's user avatar
  • 331