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, 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