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Integration by Partial Fractions: Example 9: Rationalizing Substitutions
In this video I go over another example on integrating rational functions using partial fractions and this time show how sometimes even if the function we are integrating is a non-rational function we may be able to rationalize it or make it into a rational function using an appropriate substitution and thus be able to use partial fractions. The example I cover in this video is the integral of the function sqrt(x+4)/x and show how we can use the substitution u = sqrt(x+4) to transform the non-rational function into a rational function. This is a very useful technique to have when integrating non-rational functions so make sure to watch this video!
Download the notes in my video: http://1drv.ms/1O29Qsp
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/integration-by-partial-fractions-example-9-rationalizing-substitutions
Related Videos:
Integration by Partial Fractions: Example 8: Avoiding Partial Fractions: http://youtu.be/32BibgNCNI4
Integration by Partial Fractions: Example 7: http://youtu.be/B_7YgHRNKvk
Integration by Partial Fractions: Example 6: http://youtu.be/3NqziB3knxE
Integration by Partial Fractions: Example 5: http://youtu.be/ql2mu5joNJI
Integration by Partial Fractions: Example 4: http://youtu.be/79lWkqMEzUU
Integration by Partial Fractions: Example 3: http://youtu.be/Ch2qP4uqluc
Integration by Partial Fractions: Example 2: http://youtu.be/Fi16rcXUxHo
Integration by Partial Fractions: Example 1: http://youtu.be/UZthT_bCKyU
Integration by Partial Fractions: http://youtu.be/r07NnKf76og
Partial Fraction Decomposition: Summary and Higher Powers: http://youtu.be/lSlkhrF09ww
Partial Fraction Decomposition: Proof of General Case with Linear Factors: https://youtu.be/crTTU9SpTNI
Partial Fraction Decomposition: Proof of the Simplest Case: http://youtu.be/Eq5yLJmC6pw
Partial Fraction Decomposition: Why it doesn't for Improper Fractions: http://youtu.be/5QQP2kqE_ss
Partial Fraction Decomposition: Non-Linear and Repeating Factors: http://youtu.be/wZVI5Gsc4WU
Partial Fraction Decomposition: Non-Linear Factors: http://youtu.be/ZK8akA4BE84
Partial Fraction Decomposition: Repeating Factors: http://youtu.be/9xlyx5NumkI
Partial Fraction Decomposition: General Techniques: http://youtu.be/bqf42x6nZoo
Area Under a Curve: Introduction to Integral Calculus: http://youtu.be/JbEbhv8ybmE
Derivative of y = Log(x) and y = Ln(x): http://youtu.be/5e6MisvvMP Polynomial Long Division - Examples: http://youtu.be/7XbzCQgqBP
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI .
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