Welcome to our community

Be a part of something great, join today!

[SOLVED] 3.1.316 AP calculus Exam piece wise integral

karush

Well-known member
Jan 31, 2012
2,678
Capture.PNG

I tried to do this just by observation, but kinda hard with a piece wise function
so would presume

$\displaystyle \int_1^3 2 \, dx +\int_3^5 x-1 \, dx
= 2x\biggr|_1^3 + \left(\dfrac{x^2}{2}-x\right)\biggr|_3^5=4+6=10$

i wasn't sure about the notation of limits when you have an inequality in the function
 
Last edited:

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
655
that’s fine
 

tkhunny

Well-known member
MHB Math Helper
Jan 27, 2012
267
I tried to do this just by observation, but kinda hard with a piece wise function
so would presume
Keep in mind that you could have solved this one by Plane Geometry; no calculus required. Is this what you meant with "by observation"?

Clearly, it's okay to use the calculus in your calculus class. Just keep it in mind. :)
 
Last edited: