Integration using Tables of Integrals: Example 1
In this video I go over the use of tables of integrals when integrating functions. Integration using tables of integrals has been widely used in the past before the internet was fully developed and integration computer algebra systems (CAS) were widely available online. That being said they are useful when you don't have an CAS available or your internet connection is not working. In this video I go over the example of finding the volume of the region bounded by the functions y = arctan(x), y = 0 and x = 1 and rotated about the y-axis. The problem involves solving an integral with an integrand of the form u*arctan(u). Luckily the integral of such an integral can be found in formula number 92 in the Table of Integrals found in my calculus book as well as through this link: tinyurl.com/integralsmes.
Download the notes in my video: http://1drv.ms/1JM5hyZ
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/integration-using-tables-of-integrals-example-1
Integrals and Volumes by Cylindrical Shells: http://youtu.be/LbywV9X154E
Can We Integrate All Continuous Functions?: http://youtu.be/OFEDLJYqYps
Strategy for Integration: http://youtu.be/7JxW2N7izF0
Integration by Partial Fractions: http://youtu.be/r07NnKf76og
Trigonometric Substitution for Integrals: http://youtu.be/2pWvGXwtVJo
Integration by Parts: Proof: http://youtu.be/TZhEOct5u_M
The Substitution Rule for Integrals: http://youtu.be/VsLC-0g6hVg
Trigonometric Integrals: Guidelines for sin(x)cos(x): http://youtu.be/aE8Sz5BdMT8
Trigonometric Integrals: Guidelines for tan(x)cos(x): http://youtu.be/oz5nXlYQPB0 .
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