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Integration using Tables of Integrals: Example 4
In this video I go over another example on using tables of integrals and this time solve the integral of the function x*sqrt(x^2+2x+4). Although the table of integrals that I am using (which can be downloaded at http://tinyurl.com/integralsmes), doesn’t have any formulas for integrands of the form sqrt(ax^2+bx+c), we can still complete the square and use substitution to transform the function to a form of sqrt(x^2 + b). After transforming the function we can then use the integral number 21 in the table of integrals to solve the integral.
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIheA6iHd7l_yX6I67BA
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/integration-using-tables-of-integrals-example-4
Related Videos:
Integration using Tables of Integrals: Example 3: http://youtu.be/3wuvPAdlBOI
Integration using Tables of Integrals: Example 2: http://youtu.be/H8faP77lthc
Integration using Tables of Integrals: Example 1: http://youtu.be/AOToFP-4Mfg
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
Completing the Square: http://youtu.be/5uxV6-f_qc0 .
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