Simplifying integral question....

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The integral has been solved, but the user is struggling to simplify the result into a specific form. They have made progress but seek assistance in further simplification. The key suggestion is to simplify the expression (bx + a) - 3a. The discussion emphasizes the importance of focusing on the simplification step after successfully solving the integral. Overall, the thread highlights the common challenge of simplifying complex mathematical expressions.
flyingfishcattle
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Homework Statement


I have solve the integral for:
Screen Shot 2018-12-25 at 12.41.14 PM.png
to be:
Screen Shot 2018-12-25 at 12.16.01 PM.png

But I cannot figure out how to simplify the answer to the form shown above.

Homework Equations



The Attempt at a Solution


Here is my progress so far:
IMG_3361.jpg

Any help would be appreciated
 

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You've done the hard part; just simplify (bx + a) - 3a
 
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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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