Are the following two integrals equivalent? [basic]

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    Equivalent Integrals
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SUMMARY

The two integrals discussed in the forum are equivalent, as confirmed by multiple participants. The discussion centers around the application of these integrals in calculating the area between two curves. Participants agree that there are no exceptions or trivial cases that would invalidate this equivalence, making it acceptable to substitute between the two integrals in academic settings.

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Hi, this is rather short one. I'm wondering if the two in the image below are equivalent.
http://gyazo.com/62449de717e91b412f42771fd7d0a1af

To me they appear to be equivalent, and I can't recognize any exceptions or trivial cases. Also, if it is equivalent would be it be acceptable to substitute between the two?

Specifically when dealing with the area between two curves. I know it is simple, and I know how, to identify the 'top' function but I'm always looking for new short cuts.

Thank you!
 
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Yes, the equality is true.
 
Alright thank you. I will assume since there are no exceptions, that is it fine to use on an exam or something similar.

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