How do I integrate a(1-e^-bt) with constants a and b?

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morgand

Hey, just confused on how you would integrate:
a(1-e^-bt)
with "a" and "b" being constants.
If you could provide steps that would be helpful.

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mathman

∫adt = at + C, ∫ae^-bt = (-a/b)e^-bt + D

where C and D are arbitrary constants. I hope you can put it together.

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