How to solve the Triple integral with limits numerically?

Questions
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1

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I would like to solve the following integral numerically:
How i can simplify it?

2

To do it numerically, you must give a numerical value to the lambda parameters.

3

λ1= 2.5000e-05
and λ2= 1.0000e-04
can be any value λ1<< λ2

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4

You are all set. Give it a try and then we will help you. Use NIntegrate instead of Integrate.