The Laplace transform is a way to turn functions into other functions in order to do certain calculations more easily. This way of turning functions to other functions is very similar to U Substitution. The aim of this change is to be able to turn the hard work of integration into a simple algebraic addition and subtraction, just as logarithms allow one to add and subtract instead of multiplying and dividing. An example of its use is in ruin theory, which is a subject of actuarial science with regards to insurance.
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