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Improper Integral: 1/[1+x^6] from zero to infinity | Pentagramprime
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Episode 000069
Pentagramprime
Uploaded Sunday, January 1st, 2023
In this episode we evaluate the Improper integral of 1/[1+x^6] from zero to infinity utilizing residues and path integrals.
Timestamps:
0:31 Discussion of Condition 2 in Table 4.3.1.
1:57 Locating the singular points.
3:46 Factoring the denominator.
4:58 Simplifying the radicals.
8:18 Brief Recap.
8:39 Calculating the residues.
10:10 Combining the residues.
Text: "Basic Complex Analysis" 3rd Edition by Jerrold E. Marsden and Michael J. Hoffman (1999). This video covers exercise #4 on page 301.
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Link to pentagrampwned (gaming channel):
Pentagramprime
Uploaded Sunday, January 1st, 2023
In this episode we evaluate the Improper integral of 1/[1+x^6] from zero to infinity utilizing residues and path integrals.
Timestamps:
0:31 Discussion of Condition 2 in Table 4.3.1.
1:57 Locating the singular points.
3:46 Factoring the denominator.
4:58 Simplifying the radicals.
8:18 Brief Recap.
8:39 Calculating the residues.
10:10 Combining the residues.
Text: "Basic Complex Analysis" 3rd Edition by Jerrold E. Marsden and Michael J. Hoffman (1999). This video covers exercise #4 on page 301.
Wanna help out the channel? Go to
Link to pentagrampwned (gaming channel):
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