How to Solve an Improper Integral Problem

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SUMMARY

The discussion centers on solving the improper integral from 1 to infinity of the function dx/[(x)(2x+5)]. The user consistently arrives at the incorrect result of (2/5)ln(7) instead of the correct answer, (1/5)log(7/2), as provided by Wolfram Alpha. The importance of showing work during problem-solving is emphasized to identify mistakes in the integration process.

PREREQUISITES
  • Understanding of improper integrals
  • Knowledge of logarithmic properties
  • Familiarity with integration techniques
  • Experience using computational tools like Wolfram Alpha
NEXT STEPS
  • Review techniques for evaluating improper integrals
  • Study the properties of logarithms in calculus
  • Practice integration by parts and substitution methods
  • Learn how to verify integral results using Wolfram Alpha
USEFUL FOR

Students studying calculus, particularly those tackling improper integrals, and educators looking for examples of common mistakes in integration processes.

learningsumth
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Homework Statement


hi, I've been working on this for the past half hour and i can't seem to get the right answer

definite integral from 1 to infinity, dx/[(x)(2x+5)]
[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP558719f9237h7g3ceg5000000h4efg42afe11g4c?MSPStoreType=image/gif&s=27&w=272&h=39

The Attempt at a Solution



i keep getting (2/5)ln(7) as opposed to (1/5)log(7/2) that wolfram gives me.

thanks so much!
 
Last edited by a moderator:
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It's difficult to see what your mistake is if you don't show us your work.
 
learningsumth said:

Homework Statement


hi, I've been working on this for the past half hour and i can't seem to get the right answer

definite integral from 1 to infinity, dx/[(x)(2x+5)]
[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP558719f9237h7g3ceg5000000h4efg42afe11g4c?MSPStoreType=image/gif&s=27&w=272&h=39


The Attempt at a Solution



i keep getting (2/5)ln(7) as opposed to (1/5)log(7/2) that wolfram gives me.

thanks so much!

LCKurtz - can you show some work so we might be able to find where you went wrong? For example, how did you perform integration?
 
Last edited by a moderator:

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