Simple Additivity problem

sharif3

New member
Joined
Apr 22, 2013
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1
Hi guys, I'm new here, but I was wondering if anyone can take a look at these "basic" problems for me. I feel like they're basic, but after a full day of studying, maybe I've exhausted myself.

iBwfvijHvX2pZ.png


Ok, so I got the first one correct. However, I can't seem to figure out what I'm doing wrong on the second one.

From what I've learned, the second f(x) should be the opposite of the first f(x) since it's the same functions but with their limits switched, therefore, it should be 8, and in the second equation, 8f(x)-7 = 8(8)-7= 57. However, 57 is not the correct answer.


iRS9knCBvCsAh.png


I can't grasp my mind around what exactly this is even asking. Could someone point me in the right direction?

Thank you.
 
\(\displaystyle \int\limits_{-2}^{-1}f(x)\;dx = \int\limits_{-1}^{-2}-f(x)\;dx\)
 
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