(Created page with "=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 solvin...") |
|||
| Line 1: | Line 1: | ||
=Applications with Physics= | =Applications with Physics= | ||
| − | + | When used in different types of integrals, Feynman's integral can simplify mathematicians' and students' lives. We can use this technique in solving arduous definite and improper definite integrals. To better apply this technique, physicists use this trick to solve problems in quantum physics. They tweak the equations or functions and introduce ideas from complex numbers to simplify their functions. To give an example of how this is done, let's have a look at the following example | |
| − | |||
When given a definite integral such as, | When given a definite integral such as, | ||
<center><math>\int_{0}^{\pi} e^{cos(x)}cos(sin(x)) dx</math></center> | <center><math>\int_{0}^{\pi} e^{cos(x)}cos(sin(x)) dx</math></center> | ||
Latest revision as of 00:36, 5 December 2020
Applications with Physics
When used in different types of integrals, Feynman's integral can simplify mathematicians' and students' lives. We can use this technique in solving arduous definite and improper definite integrals. To better apply this technique, physicists use this trick to solve problems in quantum physics. They tweak the equations or functions and introduce ideas from complex numbers to simplify their functions. To give an example of how this is done, let's have a look at the following example
When given a definite integral such as,
Using what we learnt from feynman's technique, we can modify this as a function of:
