Please help me with this function on a closed interval!
1 answer:
Answer:
(E) 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Antiderivatives - Integrals
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Rule [Fundamental Theorem of Calculus 2]: ![\displaystyle \frac{d}{dx}[\int\limits^x_a {f(t)} \, dt] = f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Cint%5Climits%5Ex_a%20%7Bf%28t%29%7D%20%5C%2C%20dt%5D%20%3D%20f%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
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<u />
<u />
<u />
<u />
<u>Step 2: Integrate</u>
- [Integral] Evaluate [Integration Rule - FTC 1 and 2]:

- [Integral] Substitute in variables [Given/Table]:

- [Addition Property of Equality] Isolate f(4):

- Rewrite:

Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
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Step-by-step explanation: