Simplifying and Integrating √(1+4t^2) | Homework Help

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The expression √(1+4t^2) cannot be simplified further in a conventional sense. However, it is well-suited for integration using trigonometric substitution techniques. The discussion emphasizes the importance of recognizing when to apply such methods, particularly when dealing with constants and squares. Trig substitution can simplify the integration process effectively. Understanding these strategies enhances problem-solving skills in calculus.
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Homework Statement


sqrt(1+4t^2)


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The Attempt at a Solution


I'm not sure if this even can be simplified. If it can't be how would I integrate it?
 
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Why would you want to simplify it? It's already perfectly set up for trig substitution.
 
Hi jimbo71! :smile:

Hint: whenever you see a constant ± a square, it usually helps to try a trig substitution. :wink:
 

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