Uploaded December 2024 | Updated September 2026, 1 week ago
By popular demand: integral of sin floor 1/x
You asked for it and Dr Peyam delivers! Here we calculate the integral from 0 to 1 of sin floor 1/x where floor is the integer part function. For this we split the sum up into smaller intervals and use the laws of sin to write this in terms of the sum of sin(n)/n and cos(n)/n, for which we have more explicit formulas. Please enjoy this calculus extravaganza which is a must see for all mathematics lovers!
Link to blackpenredpen video: youtube.com/watch?v=z1DEAX6lPOg
YT channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Teespring merch: teespring.com/stores/dr-peyam
By popular demand: integral of sin floor 1/x
You asked for it and Dr Peyam delivers! Here we calculate the integral from 0 to 1 of sin floor 1/x where floor is the integer part function. For this we split the sum up into smaller intervals and use the laws of sin to write this in terms of the sum of sin(n)/n and cos(n)/n, for which we have more explicit formulas. Please enjoy this calculus extravaganza which is a must see for all mathematics lovers!
Link to blackpenredpen video: youtube.com/watch?v=z1DEAX6lPOg
YT channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Teespring merch: teespring.com/stores/dr-peyam
