Uploaded August 2021 | Updated September 2026, 1 day ago
This video is dedicated to my Differential Equations students, who have performed amazingly well to get to this point. They have all taken Calculus 1 and Calculus 2 during a worldwide pandemic, and did well enough to make it to ODEs.
Though, they might be a bit worse for wear, and this video does a snappy review of all of Calculus 2's integration techniques in 20 minutes. Or at least most of the relevant ones. This includes U substitution, Trigonometric Substitution, Integration By Parts (including solving for the integral), and Partial Fraction Decompositions. Each technique is accompanied by an example.
If you want a quick refresher, this video is for you!
Music:
Go on - Cacti
Like a Blind Girl's Dog - Daxten
Video Call from Los Angeles - Trevor Kowalski
Pomelo - Jobii
Wrong - Dan Henig
Guardians + Tex by Craig Hardgrove
0:00 Proud of You
1:07 U Substitution
3:48 Trigonometric Substitution
7:56 Integration By Parts
10:24 Solving for the Integral
12:47 Partial Fraction Decompositions - Simple Case
13:50 Partial Fraction Decompositions - Repeated Roots
16:00 Partial Fraction Decompositions - Irreducible Factors
18:21 Closing Remarks (Subscribe!)
This video is dedicated to my Differential Equations students, who have performed amazingly well to get to this point. They have all taken Calculus 1 and Calculus 2 during a worldwide pandemic, and did well enough to make it to ODEs.
Though, they might be a bit worse for wear, and this video does a snappy review of all of Calculus 2's integration techniques in 20 minutes. Or at least most of the relevant ones. This includes U substitution, Trigonometric Substitution, Integration By Parts (including solving for the integral), and Partial Fraction Decompositions. Each technique is accompanied by an example.
If you want a quick refresher, this video is for you!
Music:
Go on - Cacti
Like a Blind Girl's Dog - Daxten
Video Call from Los Angeles - Trevor Kowalski
Pomelo - Jobii
Wrong - Dan Henig
Guardians + Tex by Craig Hardgrove
0:00 Proud of You
1:07 U Substitution
3:48 Trigonometric Substitution
7:56 Integration By Parts
10:24 Solving for the Integral
12:47 Partial Fraction Decompositions - Simple Case
13:50 Partial Fraction Decompositions - Repeated Roots
16:00 Partial Fraction Decompositions - Irreducible Factors
18:21 Closing Remarks (Subscribe!)
