M 172 Videos
Section numbers are for Rogawski, 3rd edition.
Section 5.7
U-substitution, indefinite: https://montana.techsmithrelay.com/btMd
U-substitution, definite: https://montana.techsmithrelay.com/2y0q
Section 5.8
Inverse trig functions, indefinite: https://montana.techsmithrelay.com/FZy1
Inverse trig functions, definite: https://montana.techsmithrelay.com/JERH
Section 6.1
Area between curves: https://montana.techsmithrelay.com/sOJg
Area between curves for functions x=f(y): https://montana.techsmithrelay.com/rwO1
Section 6.2
Volume of a pyramid: https://montana.techsmithrelay.com/crTP
Volume of a described solid: https://montana.techsmithrelay.com/Zh8a
Section 6.3
Volumes of revolution, disks: https://montana.techsmithrelay.com/HjSg
Volumes of revolution, washers: https://montana.techsmithrelay.com/TC8A
Volumes of revolution, disks/washers, about a line: https://montana.techsmithrelay.com/dbom
Section 6.4
Volumes of revolution, shells: https://montana.techsmithrelay.com/MwTD
Volumes of revolution, shells, about a line: https://montana.techsmithrelay.com/3N9g
Section 6.5
Work: https://montana.techsmithrelay.com/Hw10
Work, another example: https://montana.techsmithrelay.com/uulT
Section 7.1
Integration by Parts: https://montana.techsmithrelay.com/mneo
IBP (definite): https://montana.techsmithrelay.com/zmjd
IBP twice: https://montana.techsmithrelay.com/Zysl
IBP with substitution first: https://montana.techsmithrelay.com/QPzo
Section 7.2
Trig integrals sin/cos: https://montana.techsmithrelay.com/B4fp
Trig integrals, half angle identities: https://montana.techsmithrelay.com/POUZ
Trig integrals, tan/sec: https://montana.techsmithrelay.com/LBDA
Trig integrals, sum of angles identities: https://montana.techsmithrelay.com/FuHK
Section 7.3
Trig substitution forms: https://montana.techsmithrelay.com/yvbg
Trig substitution, indefinite: https://montana.techsmithrelay.com/UZhv
Trig substitution, definite: https://montana.techsmithrelay.com/WE8B
Trig substitution with u-sub first: https://montana.techsmithrelay.com/x9SD
Section 7.5
Partial fractions, distinct linear: https://montana.techsmithrelay.com/cRFU
Partial fractions, repeated linear: https://montana.techsmithrelay.com/bcjX
Partial fractions, irreducible quadratic: https://montana.techsmithrelay.com/W2mc
Partial fractions, long division: https://montana.techsmithrelay.com/RxIp
Section 7.7
Improper integrals, infinity: https://montana.techsmithrelay.com/e2L5
Improper integrals, discontinuity, L’Hopital’s: https://montana.techsmithrelay.com/6PXl
Comparison Test: https://montana.techsmithrelay.com/W7ha
Section 8.1
Arc length: https://montana.techsmithrelay.com/s0rw
Arc length, perfect square: https://montana.techsmithrelay.com/0PNX
Surface area: https://montana.techsmithrelay.com/hzrY
Section 8.2
Fluid force (molasses): https://montana.techsmithrelay.com/oHvE
Section 10.1
Sequences, intro: https://montana.techsmithrelay.com/6uYw
Sequences, limit definition of e: https://montana.techsmithrelay.com/Bca6
Section 10.2
Series, intro: https://montana.techsmithrelay.com/EHS3
Series, telescoping: https://montana.techsmithrelay.com/ap35
Series, geometric: https://montana.techsmithrelay.com/dPyT
Section 10.3
Integral Test: https://montana.techsmithrelay.com/iWg6
Comparison Test: https://montana.techsmithrelay.com/ZJrQ
Limit Comparison Test: https://montana.techsmithrelay.com/E3xu
Comparison and LCT Refresher: https://montana.techsmithrelay.com/233N
Section 10.4
Alternating Series Test: https://montana.techsmithrelay.com/QVGb
Estimating sums: https://montana.techsmithrelay.com/dW4E
Absolute/Conditional convergence: https://montana.techsmithrelay.com/6lrJ
Section 10.5
Ratio Test: https://montana.techsmithrelay.com/E5Lp
Root Test: https://montana.techsmithrelay.com/hm4j
Section 10.6
Power series, finding R and I: https://montana.techsmithrelay.com/8F7s
Power series, more examples: https://montana.techsmithrelay.com/821I
Functions as geometric series: https://montana.techsmithrelay.com/62eD
Differentiating and Integrating power series: https://montana.techsmithrelay.com/P5Fw
Section 10.7
Taylor polynomials: https://montana.techsmithrelay.com/3Tf5
Building a Taylor Series centered at x=-1, finding R and I: https://montana.techsmithrelay.com/GPEC
Taylor series using substitution: https://montana.techsmithrelay.com/k4yV
Limits using Maclaurin series: https://montana.techsmithrelay.com/jBrt
Integration using Maclaurin series: https://montana.techsmithrelay.com/Z3F1
Section 11.1
Graphing and converting parametric to Cartesian: https://montana.techsmithrelay.com/n9oc
Parametric derivatives: https://montana.techsmithrelay.com/22Lv
Lines, Circles, Cycloid: https://montana.techsmithrelay.com/lOwD
Section11.2
Parametric arc length and speed: https://montana.techsmithrelay.com/a3dr
Section 11.3
Polar equations, graphing, point conversion: https://montana.techsmithrelay.com/WxRl
Converting polar and rectangular equations: https://montana.techsmithrelay.com/i5Tf
Polar curve sketching: https://montana.techsmithrelay.com/7NWa
Section 11.4
Polar area: https://montana.techsmithrelay.com/f8pL
Polar area between curves: https://montana.techsmithrelay.com/2ZQb
Polar area - finding points of intersection: https://montana.techsmithrelay.com/4W3T
Polar arc length: https://montana.techsmithrelay.com/GvFV