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: 0.04 per pound
Step-by-step explanation:
A 5 pound bag of apples costs 4.50.
The unit price will be 4.50 divided by 5 which will be:
4.50 ÷ 5 = 0.9
The unit price is 0.9 per pound
A 8 pound bag of the same type of apples costs 7.52.
The unit price will be 7.52 divided by 8 which will give:
7.52 ÷ 8 = 0.94
The unit price is 0.94 per pound
The difference in the unit prices will be the subtraction of 0.90 from 0.94.
0.94 - 0.90 = 0.04
The difference in the unit prices is 0.04 per pound.
Answer:
no photooooooooooooooooooooooooooooo
Answer: 10 units²
Step-by-step explanation:
We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.
We can get each triangle's area using the formula 
<h3>Left Triangle</h3>
base length - 4 units
height - 4 units


<h3>Right Triangle</h3>
base length - 2 units
height - 2 units



Total = 8 units² + 2 units² = 10 units²