Uploaded May 2022 | Updated September 2026, 1 week ago
calculating the area of a super ellipse. Here we find the area enclosed by a pseudo ellipse, which is a generalization of an ellipse but with n. Special cases include squares, circles, and ellipses. After a change of variables, we transform this geometric figure into an integral, which involves the beta function and which has been calculated previously using the Laplace transform. The answer includes the gamma function and factorials, but where did the pi go? This is a must see for calculus and math students, enjoy!
Laplace integral: youtu.be/a5l4owYxjRw
YT channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
Teespring merch: teespring.com/stores/dr-peyam
calculating the area of a super ellipse. Here we find the area enclosed by a pseudo ellipse, which is a generalization of an ellipse but with n. Special cases include squares, circles, and ellipses. After a change of variables, we transform this geometric figure into an integral, which involves the beta function and which has been calculated previously using the Laplace transform. The answer includes the gamma function and factorials, but where did the pi go? This is a must see for calculus and math students, enjoy!
Laplace integral: youtu.be/a5l4owYxjRw
YT channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
Teespring merch: teespring.com/stores/dr-peyam
