June 2025
Intermediate to advanced
515 pages
17h 5m
English
Content preview from Python For Engineering and Scientific Computing
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5.10 Integrations
Integrations represent the inverse operations of differentiations. If you form the derivative of a function, then the original function is the antiderivative, that is, the integral of the derived function. However, the reversal is not always clear. As a result, there is not an antiderivative F for every function 𝑓.
Mathematically, this relationship can be described by rearranging the differential quotient according to dy. For the derivation, the following applies:
By rearranging according to dy and integrating on both sides, you obtain the following:
The product can be interpreted as the surface element dA. By summing up ...
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