
Step-by-step explanation:
The area <em>A</em> under the curve can be written as

To evaluate the integral, let

so the integral becomes

or

Putting in the limits of integration, our area becomes

![\;\;\;\;= \frac{1}{2}[\ln (1+16) - \ln (1)]](https://tex.z-dn.net/?f=%5C%3B%5C%3B%5C%3B%5C%3B%3D%20%5Cfrac%7B1%7D%7B2%7D%5B%5Cln%20%281%2B16%29%20-%20%5Cln%20%281%29%5D)

Note: 
Answer:
x>=-1, B
Step-by-step explanation:
1. distribute 2 to get 7+x <= 2x+6+2
2. simplify to get 7+x <= 2x+8
3. subtract 7 on both sides to get x<=2x+1
4. subtract x on both sides to get 0 <= x+1
5. subtract 1 on both sides to get x >= -1
B fits this description
I believe the answer is D. $34.43