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Applications of Integrals: Moments and Centers of Mass: Example 3: cos(x)
In this video I go over determining the centroid, or center of mass of the region bounded by the function cos(x) and the x and y axes from x = 0 to x = π/2. In this example I show how to apply the integration by parts method as well as the half-angle trigonometric identity in solving the integral formulas for centers of mass.
Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104618&authkey=!AC8WSqZh60rFagY&ithint=file%2cpdf
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-moments-and-centers-of-mass-example-3-cos-x
Related Videos:
Moments and Centers of Mass: Example 2: Semi-Circle: https://youtu.be/vfCMuvqOCFM
Moments and Centers of Mass: Example 1: https://youtu.be/55jrfODcbWY
Moments and Centers of Mass: Introduction: https://youtu.be/lLSo5Hck6FM
Hydrostatic Pressure and Force: Example 2: Force on a Drum: https://youtu.be/8tZ86Iw68l8
Hydrostatic Pressure and Force: Example 1: Force on a Dam: https://youtu.be/Gr5H4icS4CQ
Applications of Integrals: Hydrostatic Pressure and Force: https://youtu.be/fesMt6vmXIo
Applications of Integrals: Surface Area: https://youtu.be/JkDPmAD37qk
Applications of Integrals: Arc Length Function: https://youtu.be/MWKK3qLvSwU
Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg
Simplified Filter Criteria: A Dam Filter Example: http://youtu.be/yGEeYAb4Olw
Soil Mechanics 101 - Phase Relations: http://youtu.be/DtKheQcL2BU
Types of Tailings Embankments: Upstream, Downstream and Centerline Construction Methods: http://youtu.be/1wm1XR6z-QE
Buoyancy - What is Archimedes' Principle and it's Proof: http://youtu.be/mXzccaH2KN
Integration by Parts: Proof: http://youtu.be/TZhEOct5u_M
Half Angle Trigonometry Identities: http://youtu.be/0bY6tHZhBSI .
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