Integration by Partial Fractions: Example 7

In this video I go over another example on integrating rational functions by using partial fractions and this time solve the integral of the function (1-x+2x^2-x^3)/[x(x^2+1)^2]. The rational function in this example has a non-linear irreducible factor and thus I show how to break this down using partial fraction decomposition to simplify the integration process. This is a pretty tedious but useful video to fully understand the partial fractions process.

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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 Trigonometric Identity: Integral of 1/(x^2+a^2): https://youtu.be/XWsnhNCdzP8 .

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