How should I write definite integrals for publication?

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I am not sure about how to write the limits correctly.

How should I write definite integrals for publication?


Question: Effects of nuclear explosions in space?
Answer: Compared to everyday celestial events, the energy of an H-bomb is laughably tiny. The sun is something like a billion H-bombs per second. A gamma ray burst may be a billion-billion times that. So anything humans can construct is like an single ant (not a colony) attacking mount Everest (or if you want to compare to a gammaray burst a single virus attacking the enture mountain range). It just won't be noticable except in a small local area. The one thing a nuke does that is different, is generate fission products, which for the most part aren't found in space (although other radioactive isotops yes). And even these isotopes, are probably generated in much greater volume by supernovas, but unless you are in the neighborhood of a recently exploded one, they have long since decayed away.

The earth based space tests, were significant, because they happened in the very rarified earths exosphere/magnetosphere, and generated high energy particles (mostly electrons), trapped in the earths radiation belts. At the time it was feared we might have to wait decades for the activity to settle down to the undisturbed state.