# [SOLVED]3.1.316 AP calculus Exam piece wise integral

#### karush

##### Well-known member

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

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MHB Math Helper
that’s fine

#### tkhunny

##### Well-known member
MHB Math Helper
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.

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