Integration with square roots HELP

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The discussion focuses on solving the expression (8x+1)^0.5 using substitution. A user initially struggles with the method but is advised to substitute u=8x+1. After some back and forth, the user acknowledges that substitution is indeed the correct approach. The conversation highlights the importance of clear problem-solving strategies when dealing with square roots. Overall, the thread emphasizes the effectiveness of substitution in simplifying the expression.
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!
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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