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charle [14.2K]
2 years ago
14

Integrate the following. ∫

ss="latex-formula">
Mathematics
1 answer:
bogdanovich [222]2 years ago
4 0

Answer:

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

General Formulas and Concepts:

<u>Calculus</u>

Integration

  • Integrals
  • Definite/Indefinite Integrals
  • Integration Constant C

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

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \int {84} \, dx

<u>Step 2: Integrate</u>

  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

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