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Improper Integral: cos(mx)/[1+x^4] from zero to infinity | pentagramprime
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Episode 000070
pentagramprime
Uploaded Monday, March 20th, 2023
In this episode we evaluate the Improper integral of cos(mx)/[1+x^4] from zero to infinity utilizing residue theorem. Also, thanks to everyone who helped me reach 300 subscribers!
Timestamps:
0:22 Setup
2:56 Singularities
5:53 Calculation of Residues
6:57 Calculation of integral I
9:00 The Real Integral
10:03 Negative m values (and m=0)
12:08 A Similar Worked Example
12:51 Channel Updates
Text: "Basic Complex Analysis" 3rd Edition by Jerrold E. Marsden and Michael J. Hoffman (1999). This video covers exercise #5 on page 302.
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Link to pentagrampwned (gaming channel):
Tumblr Account:
Local Elevator by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license.
Clark University sum/difference formula reference:
pentagramprime
Uploaded Monday, March 20th, 2023
In this episode we evaluate the Improper integral of cos(mx)/[1+x^4] from zero to infinity utilizing residue theorem. Also, thanks to everyone who helped me reach 300 subscribers!
Timestamps:
0:22 Setup
2:56 Singularities
5:53 Calculation of Residues
6:57 Calculation of integral I
9:00 The Real Integral
10:03 Negative m values (and m=0)
12:08 A Similar Worked Example
12:51 Channel Updates
Text: "Basic Complex Analysis" 3rd Edition by Jerrold E. Marsden and Michael J. Hoffman (1999). This video covers exercise #5 on page 302.
Wanna help out the channel? Go to
Link to pentagrampwned (gaming channel):
Tumblr Account:
Local Elevator by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license.
Clark University sum/difference formula reference:
![Improper Integral: cos(mx)/[1+x^4]](https://i.ytimg.com/vi/4wRQHzvkNJk/hqdefault.jpg)
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