How can I solve this integral using integration by parts and substitution?

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SUMMARY

The discussion focuses on solving the integral of arctan(1/x) using integration by parts and substitution techniques. The integral simplifies to arccot(x), demonstrating the relationship between arctangent and arccotangent functions. Participants emphasize the importance of correctly applying integration by parts and substitution to achieve the solution. Key mathematical principles are highlighted to aid in understanding the process.

PREREQUISITES
  • Understanding of integration by parts
  • Familiarity with substitution methods in calculus
  • Knowledge of arctangent and arccotangent functions
  • Basic calculus concepts and notation
NEXT STEPS
  • Practice solving integrals using integration by parts
  • Explore substitution techniques for complex integrals
  • Study the properties and graphs of arctan and arccot functions
  • Review advanced calculus topics related to integration
USEFUL FOR

Students and educators in mathematics, particularly those studying calculus, as well as anyone looking to deepen their understanding of integration techniques.

chefstef00
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need help, i cannot figure out how to use integration by parts and substition to solve this integral

integral of arctan(1/x)
 
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arctan (1/x) = arccot x
 

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