Posts Tagged Integration

F12 – Integration 4

Position, velocity and acceleration Differentiating and Integrating (2.07) Position vs time graph 1 (9.13) Position vs time graph 2 (9.52) Position vs time graph 3 (7.44) Velocity vs time graph (7.18) Areas between curves Example 1 (2.32) Example 2 (3.50) Example 3 (4.49) Areas (9.51) Volumes of revolution by the cylindrical shell method (this uses C=2πr) Around the y-axis (9.30) Patrick’s long version (19.56) Patrick’s shorter […]

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F10 – Integration 3

Integration by substitution Introduction (10.01) More examples (10.04) This video and the 5 that follow in the playlist give 6 examples Integration by parts IBP 1: The basics (7.08) IBP (10.02) IBP: more examples (7.47) Remembering the formula with dashes 1 (Watch from 19:00 to 27:16) Remembering the formula with dashes 2 (11.37) Definite integral – regardless of how you remember […]

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F9 – Integration 2

The fundamental theorem of calculus Introduction to antiderivatives (3.26) Antiderivatives  – this is a good video but after 7:20 it gets into MATH1120 material. The FTC (there are 5 videos in this playlist that you could watch for a solid understanding) Definite integral example (3.47) Indefinite integrals (5.06) – 2 examples but there are several more in his playlist […]

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F8 – Integration 1

Area under a function / Riemann sums Summation/sigma notation (9.32) Definite integral definition (9.14) Approximating a definite integral using rectangles (9.50) Area under a curve (9.55) Area under a curve example 2 (9.41) Area under a curve left hand side (6.44) Calculating a definite integral using Riemann sums part 1 (6.16) Calculating a definite integral using Riemann sums part 2 (8.31) Often students […]

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