How can I integrate the math equation (attachment) numerically?

Pls see the attachment. There three different functions NL, NR and T which depend on Ex. Here, we have to integrate all with respect to Ex. I have made NL(Ex), NR(Ex) and T(Ex). But I cann't inegrate it altogether. How can I do that? (ingration of Ex*(NL(Ex)-NR(Ex))*T(Ex))

Answer 1

[Torsten]

Just as it's written:

result = integral(@(Ex)Ex.*(NL(Ex)-NR(Ex)).*T(Ex),0,Inf)

Of course, I don't know whether you defined the three functions NL, NR and T correctly and if they can cope with array inputs for Ex.

[Md Jahid Hasan Sagor]

Actually I have done it using quadgk. similar to you. But still it is not solved.

Error Message:

Operator '-' is not supported for operands of type 'function_handle'.

Error in electron_tunnel>@(Ex)Ex.*(NL-NR).*T (line 15)

result = integral(@(Ex)Ex.*(NL-NR).*T,0,Inf)

[Walter Roberson]

result = integral(@(Ex)Ex.*(NL(Ex) - NR(Ex)).*Tr(Ex), 0, Inf)