Question

Integrate the following. ∫
`84dx`

Answer 1

`\displaystyle \int {84} \, dx = 84x + C`

General Formulas and Concepts:

Calculus

Integration

• Integrals
• Definite/Indefinite Integrals
• Integration Constant C

Integration Rule [Reverse Power Rule]:
`\displaystyle \int {x^n} \, dx = (x^(n + 1))/(n + 1) + C`

Integration Property [Multiplied Constant]:
`\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx`

Explanation:

Step 1: Define

Identify

`\displaystyle \int {84} \, dx`

Step 2: Integrate

1. [Integral] Rewrite [Integration Property - Multiplied Constant]:
   `\displaystyle \int {84} \, dx = 84\int {} \, dx`
2. [Integral] Reverse Power Rule:
   `\displaystyle \int {84} \, dx = 84x + C`

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

Unit: Integrations