Hi there!


We can evaluate using the power rule and trig rules:



Therefore:
![\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B12%7D_%7B2%7D%20%7Bx-sin%28x%29%7D%20%5C%2C%20dx%20%3D%20%5B%5Cfrac%7B1%7D%7B2%7Dx%5E%7B2%7D%2Bcos%28x%29%5D_%7B2%7D%5E%7B12%7D)
Evaluate:

Answer:
option C

Step-by-step explanation:
we have

using a graphing tool
see the attached figure N
The range is the interval--------> (-∞,8]

case A) 
using a graphing tool
The range is the interval--------> [-8,∞)

case B) 
using a graphing tool
The range is the interval--------> [8,∞)

case C) 
using a graphing tool
The range is the interval--------> (-∞,8]

case D) 
using a graphing tool
The range is the interval--------> (-∞,-8]

849-1.5=847.5
6.8-4.8=2
847.5 divided by 2 =423.75
Answer:

Step-by-step explanation:

Answer:
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Step-by-step explanation: