I would like to use the NIntegrate[] function to calculate an integral within a Do[] Loop, and pass in the value of the index into the integrand.
As a simple, hypothetical example I would like to calculate the following integrals:
$C_1[T]$= $\int_0^1 \frac{T}1 dx $
$C_2[T]$= $\int_0^1 \frac{T}2 dx $
$C_3[T]$= $\int_0^1 \frac{T}3 dx $
...
$C_j[T]$= $\int_0^1 \frac{T}j dx $
Let's just say j$j$ goes from 1 to 3.
Then I would expect you could easily compute these three integrals in a Do[] loopDo-loop.
For example
ClearAll["Global`*"]
Do[Subscript[C, j][T_ ]j][T_] := NIntegrate[(T/j), {x, 0, 1}], {j, 3}]
And let's say you want to plot $C_1[T]$...
Plot[Subscript[C, 1][T], {T, 0, 1}]
When you evaluate the cell, you get the following error:
NIntegrate::inumr: The integrand 0.0000204286/j has evaluated to non non-numerical values for all sampling points in the region with boundaries boundaries {{0,1}}. >>
This indicates that jj is not being "seen" as it's numerical value, just the variable jj, and therefore the integrand cannot be numerically integrated.
...Does Does anyone know of a way to pass in the numerical value of the index "j"j into the NIntegrate[] functionNIntegrate when you're using it in a loop?
Thanks!
