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Integration by Partial Fractions: Example 5

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First published at 01:49 UTC on September 30th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another example on integration of rational functions by partial fractions and this time integrate a function that has a non-reducible non-linear factor in the denominator. This requires applying the method of partial fraction decomposition but for non-linear factors as I have shown in my earlier videos and you can see those in the links below. The example I go over is the integral of (2x^2 - x + 4)/(x^3 + 4x). In the example I derive the integral of 1/(x^2 + a^2) = 1/a * inverse tan (x/a) which was required in solving the overall integral.

Download the notes in my video: http://1drv.ms/1evrLwq

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/integration-by-partial-fractions-example-5

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Integration by Partial Fractions: Example 4: http://youtu.be/79lWkqMEzUU

Integration by Partial Fractions: Example 3: http://youtu.be/Ch2qP4uqluc
Corollary of Continuity Theorem: Proof: http://youtu.be/euAJAiFdIAA
Integration by Partial Fractions: Example 2: http://youtu.be/Fi16rcXUxHo
Integration by Partial Fractions: Example 1: http://youtu.be/UZthT_bCKyU
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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
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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
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