Answer:

General Formulas and Concepts:
Calculus
Differentiation
- Derivatives
- Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
- Integrals
- [Indefinite Integrals] Integration Constant C
Integration Rule [Reverse Power Rule]:

Integration Property [Multiplied Constant]:

Integration Property [Addition/Subtraction]:
![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](https://img.qammunity.org/2021/formulas/mathematics/college/ytcjdhza3nvop8ti8icbfc977nz2k5ug6b.png)
U-Substitution
Explanation:
Step 1: Define
Identify

Step 2: Integrate Pt. 1
Identify variables for u-solve.
- Set u:

- [u] Rewrite:

- [u] Manipulate:

- [u] Basic Power Rule:

Step 3: Integrate Pt. 2
- [Integral] U-Solve:

- [Integrand] Rewrite:

- [Integral] Rewrite [Integration Property - Addition/Subtraction]:

- [Integrals] Rewrite [Integration Property - Multiplied Constant]:

- [Integrals] Integration Rule [Reverse Power Rule]:

- Simplify:

- [u] Back-Substitute:

- Rewrite:

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