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I have following integral and i was wondering if i can manipulate limits to simplify it.

[itex]∫^{t}_{0} P(τ)[/itex] exp([itex] - a ∫^{t}_{τ} P(u) du[/itex]) dτ

I know that the answer is [itex]\frac{1}{a}[/itex] - [itex]\frac{1}{a}[/itex] exp([itex] - a ∫^{t}_{0} P(t) dt[/itex])

But dont know how to get there.

Thanks in advance.

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# How to manipulate limits in this integral

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