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## Homework Statement

I'm trying to solve an integral, but I can't reach the book result.

I've done my work, I filled 4 sheets with integrals, but somewhere I make a mistake.

I just ask, if there a quick short way to solve the integral, to tell me or show me.

[tex] \int_{0}^{x} (x-t)e^{m(x-t)}cos(at) dt [/tex]

I have another question...

is this

[tex] \int_{0}^{x}du\int_{0}^{u} e^{m(x-t)}cos(at) dt [/tex]

equivalent to ...

[tex] \int_{0}^{x}\int_{0}^{u} e^{m(x-t)}cos(at) dt du[/tex]

Can I move the variable in an out the integral ?

Is the first form just a way to explicit which varibale belongs to which integration bounds ?

## Homework Equations

NA

## The Attempt at a Solution

NA