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Integration Rules for Natural Logarithm Function

Learn how to integrate ln(x) using integration rules. Understand the definition and properties of the natural logarithm function to solve integral problems effectively.

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Integration Rules for Natural Logarithm Function

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  1. Section 5-2 Integration of ln

  2. Definition: The natural logarithm is the function defined on the interval ( 0,  ) where The “ln” stands for the Latin Logarithmus Naturalis

  3. Recall If y = ln(x), then Therefore

  4. Integration Rules for ln Let u be a differentiable function in terms of x and du = u’dx

  5. 1) Evaluate

  6. 2) Evaluate

  7. 3) Evaluate

  8. 4) Evaluate

  9. 5) Evaluate

  10. Evaluate • Divide using synthetic division

  11. Assignment Page 340 # 1-15 all, 27, 53, 54, and 56

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