How can I simplify this equation?

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The discussion centers around simplifying an equation for easier integration. The original equation presented by Simon was challenging to simplify, leading to confusion. A user named Gerenuk provided clarity on the simplification process, helping Simon understand the steps involved. Simon expressed gratitude for the assistance, acknowledging that he had been overcomplicating the problem by trying to expand and regroup the terms unnecessarily. The interaction highlights the importance of seeking help in understanding mathematical simplifications.
SJB
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Hi,

Thanks for taking the time to look at my problem.

I'm following a worked example in a textbook and I have come to a line of simplification which I just can't see how/what they've done? I've attached a .jpg showing the two lines of simplification.

Making this simplification helps with integration later on but that's not relevant to this...

Any help would be much appreciated!

Thanks

Simon
 

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(L-x)=L\left(1-\frac{x}{L}\right)=L\left(2-\frac{x}{L}-1\right)=L\left(2\left(1-\frac{x}{2L}\right)-1\right)
 
Hello Gerenuk,

Brilliant... Thank you very much indeed, I'd spent all day banging my head on the desk over this. I kept trying to expand everything out and group back together again which was pretty stupid I guess...

Thank you again for your help

Simon
 

Thread 'Leibniz Rule Videos on Digital-University'

Good morning I have been refreshing my memory about Leibniz differentiation of integrals and found some useful videos from digital-university.org on YouTube. Although the audio quality is poor and the speaker proceeds a bit slowly, the explanations and processes are clear. However, it seems that one video in the Leibniz rule series is missing. While the videos are still present on YouTube, the referring website no longer exists but is preserved on the internet archive...
View full post »

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