Answer:

General Formulas and Concepts:
Calculus
Integration
Integration Rule [Fundamental Theorem of Calculus 1]:

Area of a Region Formula:
![\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx](https://img.qammunity.org/2021/formulas/mathematics/college/8yomppr4m10wil0api6m0lag5b7hnc5c9y.png)
Explanation:
Step 1: Define
Identify
![\displaystyle f(x) = (1)/(x) \\\left[ 1 ,\ 7 \right]](https://img.qammunity.org/2021/formulas/mathematics/college/c1si23gdmtdvhfzugeoghqwcwphtxog2m0.png)
Step 2: Integrate
- Substitute in variables [Area of a Region Formula]:

- [Integral] Logarithmic Integration:

- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:

- Simplify:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration