How to Integrate x/(x+2)?

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SUMMARY

The integral of the function ∫ (x/(x+2)) .dx can be solved using substitution or polynomial division. By substituting u = x + 2, the integral simplifies significantly. Alternatively, applying polynomial division allows for a straightforward approach to handle the fraction. Mastery of both techniques is essential for tackling more complex integration problems.

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  • Understanding of basic integration techniques
  • Familiarity with substitution methods in calculus
  • Knowledge of polynomial division
  • Proficiency in manipulating algebraic expressions
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  • Study the method of substitution in integral calculus
  • Learn polynomial long division for rational functions
  • Explore advanced integration techniques such as integration by parts
  • Practice solving integrals involving rational functions
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Students and educators in calculus, mathematicians, and anyone looking to enhance their skills in integration techniques.

Redoctober
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How do i integrate this ?

∫ (x/(x+2)) .dx

Any idea ?
 
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Try using a substitution. The immediate problem is dividing by x + 2, so try u = x + 2.
An alternative solution is to use polynomial division to simplify the fraction. It is a good idea to be familiar with both techniques for more advanced problems.
 
Thanks a lot :D !
 

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