Ch 7  Techniques of Integration

Ch 7.1 Integration by Parts

Integration by Parts
http://www.youtube.com/watch?v=dqaDSlYdRcs
http://www.youtube.com/watch?v=_MuKOm8IHBA
http://www.youtube.com/watch?v=_kJNhoTJ4D4
http://www.youtube.com/watch?v=KQPvojLB7Q4

Integration by Parts – A Loopy Example
http://www.youtube.com/watch?v=L8HoALsls-E&feature=relmfu

Ch 7.2 Trigonometric Integrals

Trigonometric Integrals
Part 1 http://www.youtube.com/watch?v=lTqnlihOC4o
Part 2 http://www.youtube.com/watch?v=zyg9k1je7Fg
Part 3 http://www.youtube.com/watch?v=BhJ4soojyAQ
Part 4 http://www.youtube.com/watch?v=8CHHY-2Ctug
Part 5 http://www.youtube.com/watch?v=QdNScjd5bno
Part 6 http://www.youtube.com/watch?v=m3zG7c52QR4

Ch 7.3 Trigonometric Substitution

Integration by Trigonometric Substitution
Part 1 http://www.youtube.com/watch?v=yS7Mgsvwdkw
Part 2 http://www.youtube.com/watch?v=kSW4sEg_VdQ&feature=relmfu
Part 3 http://www.youtube.com/watch?v=UHRmp07p9IA&feature=relmfu
Part 4 http://www.youtube.com/watch?v=RX9IDgWs5zE&feature=relmfu

Integrals: Trigonometric Substitution 1
http://www.youtube.com/watch?v=n4EK92CSuBE

Integrals: Trigonometric Substitution 2
http://www.youtube.com/watch?v=fD7MbnXbTls

Integrals: Trigonometric Substitution 3 (Long Problem)
http://www.youtube.com/watch?v=sw2p2tUIFpc

Ch 7.4 Integration of Rational Functions by Partial Fractions

Integration by Partial Fractions
http://www.youtube.com/watch?v=B1f2lytONT0
http://www.youtube.com/watch?feature=fvwp&NR=1&v=7VBO5xMGt8E
http://www.youtube.com/watch?v=3klYwqzr0hw&feature=relmfu
http://www.youtube.com/watch?v=lXk9rzYK1P0&feature=relmfu
http://www.youtube.com/watch?v=mHlPPC8LW6w&feature=relmfu
http://www.youtube.com/watch?v=Zu5gfxpcSag&feature=relmfu

Ch 7.7 Approximate Integration

The Trapezoid Rule
http://www.youtube.com/watch?v=JGeCLfLaKMw&feature=relmfu

Simpson’s Rule
http://www.youtube.com/watch?v=z_AdoS-ab2w&feature=relmfu
http://www.youtube.com/watch?v=ns3k-Lz7qWU&feature=related

Ch 7.8 Improper Integrals

Improper Integral
http://www.youtube.com/watch?v=F19y9IiH-cM
http://www.youtube.com/watch?v=85-HNJyuyrU
http://www.youtube.com/watch?v=f6cGotvktxs&feature=relmfu
http://www.youtube.com/watch?v=Q_VSj0sDA5I&feature=relmfu
http://www.youtube.com/watch?v=KvC4XyayEC0&feature=relmfu
http://www.youtube.com/watch?v=ISXOUJHjq9U
http://www.youtube.com/watch?v=q4OlH2776U8