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Integration of Rational Functions into Logarithms By Substitution u0026 Long Division

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The Organic Chemistry Tutor

This calculus video tutorial focuses on the integration of rational functions that yield logarithmic functions such as natural logs. The techniques involve include integrating by substitution, long division, and splitting a fraction into multiple smaller fractions all of which will produce natural logarithms containing absolute value functions. This video contains plenty of examples and practice problems with usubstitution of indefinite integrals & Antiderivatives generating natural log functions.

Arc Length Problems:
   • Arc Length Calculus Problems,  

Surface Area Problems:
   • Surface Area of Revolution By Integra...  

Work Problems Calculus:
   • Work Problems  Calculus  

Integration By Parts:
   • Integration By Parts  

Tabular Method:
   • Integration By Parts  Tabular Method  

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Trigonometric Integrals:
   • Trigonometric Integrals  

Trigonometric Substitution:
   • Trigonometric Substitution  

Integration By Partial Fractions:
   • Integration By Partial Fractions  

Trapezoidal Rule:
   • Trapezoidal Rule  

Simpson's Rule:
   • Simpson's Rule & Numerical Integration  

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Improper Integrals:
   • Improper Integrals  Convergence and ...  

Integration Into Inverse Trig:
   • Integration into Inverse trigonometri...  

Integration of Rational Functions:
   • Integration of Rational Functions int...  

Integral of Logarithmic Functions:
   • Integral of Logarithmic Functions | C...  

Integrating Exponential Functions:
   • Integrating Exponential Functions By ...  

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posted by Kliniskapn