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Applications with Physics

Feynman's integral when used in different types of integrals can simplify mathematicians' and students' lives. We can use this technique in solving arduous definite and improper definite integrals. To give an idea of how students can use this method to simplify their lives when dealing with such integrals, here are some examples.

Definite Integral

When given a definite integral such as,

$ \int_{0}^{\pi} e^{cos(x)}cos(sin(x)) dx $

Using what we learnt from feynman's technique, we can modify this as a function of:

$ T(b) = \int_{0}^{\pi} e^{bcos(x)}cos(bsin(x)) dx $

Back to Feynman Integrals

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