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Integration by Partial Fractions: Example 8: Avoiding Partial Fractions
In this video I go over yet another example on integrating rational functions by partial fractions but this time show how sometimes we can use integral substitution to avoid having to use partial fractions at all! The example I solve is the integral of the function (x^2+1)/[x*(x^2+3)] and use the substitution u = x*(x^2+3) to solve the integral without using partial fractions. This is a very useful technique as it can greatly simplify the integration process by avoiding partial fraction decomposition so it is always worth looking at different ways of solving any given integral!
Download the notes in my video: http://1drv.ms/1fAMOOD
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/integration-by-partial-fractions-example-8-avoiding-partial-fractions
Related Videos:
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/7XbzCQgqBPc .
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