Solving a Trigonometry Problem: Need Help!

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SUMMARY

The discussion focuses on solving a trigonometry problem where the user is uncertain about the approach to take. The suggestion to use the substitution x = 2tanθ is presented as a viable method. The user initially considered using 4sinx and 4tanx but was unsure if trigonometric substitution was appropriate. The conversation emphasizes the importance of trying the suggested substitution and providing feedback on the results.

PREREQUISITES
  • Understanding of trigonometric functions such as sine and tangent
  • Familiarity with trigonometric substitution techniques
  • Basic knowledge of algebraic manipulation
  • Ability to solve equations involving trigonometric identities
NEXT STEPS
  • Practice solving problems using trigonometric substitution
  • Explore the derivation and applications of the substitution x = 2tanθ
  • Review common trigonometric identities and their transformations
  • Study advanced techniques in trigonometry for solving complex equations
USEFUL FOR

Students studying trigonometry, educators teaching trigonometric concepts, and anyone seeking to enhance their problem-solving skills in mathematics.

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gif.latex?\int%20\frac{1}{x^2\sqrt{x^2+4}}dx.gif


So I'm not really sure how to go about this problem. I've attempted letting x = a few things. 4sinx, and 4tanx. Maybe trig substitution is not even the way to go. Could someone push me in the right direction?
 
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Yes x=2tanθ should work. Try it out and post back if you do not get through.
 

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