Integration with square roots HELP

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SUMMARY

The discussion focuses on solving the expression (8x+1)0.5 using substitution. The correct approach involves substituting u = 8x + 1, which simplifies the problem. Participants confirm that substitution is the appropriate method, clarifying initial confusion regarding its application. The consensus is that substitution effectively aids in solving the square root expression.

PREREQUISITES
  • Understanding of algebraic expressions
  • Knowledge of substitution methods in calculus
  • Familiarity with square root functions
  • Basic differentiation techniques
NEXT STEPS
  • Practice solving square root expressions using substitution
  • Learn about advanced substitution techniques in calculus
  • Explore the properties of square root functions
  • Study differentiation of composite functions
USEFUL FOR

Students studying algebra and calculus, particularly those seeking assistance with substitution methods for solving square root expressions.

Quarkn
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Homework Statement



(8x+1)^0.5

Homework Equations





The Attempt at a Solution



I tried using substitution but it clearly doesn't work because nothing in the brackets equals when derived.

Anyone help me with the beginning steps?
 
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Substitute u=8x+1. I don't understand what your problem with that would be.
 
Dick said:
Substitute u=8x+1. I don't understand what your problem with that would be.

Yes, you are correct. I guess i had some other weird method in my head :S Substitution works, sorry!

Thanks!
 

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