MHB 4.2.8 AP calculus Exam Integration limits

karush
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ok I posted a image to avoid any typos but was wondering why the question has dx and options are in dt

I picked C from observation but again that was assuming f was a horizontal line of which it could be something else
that way the limits stay the same but the area is cut in halfopinions, suggestions, ...

the heffty beta version of the pdf is here
https://documentcloud.adobe.com/link/track?uri=urn:aaid:scds:US:8f27948c-3886-40ab-9586-415cae96da97
 

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let $x = \dfrac{t}{2}$

proceed with the substitution...
 
For original Zeta function, ζ(s)=1+1/2^s+1/3^s+1/4^s+... =1+e^(-slog2)+e^(-slog3)+e^(-slog4)+... , Re(s)>1 Riemann extended the Zeta function to the region where s≠1 using analytical extension. New Zeta function is in the form of contour integration, which appears simple but is actually more inconvenient to analyze than the original Zeta function. The original Zeta function already contains all the information about the distribution of prime numbers. So we only handle with original Zeta...
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