Use the Fundamental Theoremm of CalculUS, Part I to find the area of the region under the grap of the function f(x)=4x²on [ 0,5] Cuse symbolic notation and fractions wbere needed)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Title: Application of the Fundamental Theorem of Calculus**

**Objective:**

Use the Fundamental Theorem of Calculus, Part 1, to find the area of the region under the graph of the function \( f(x) = 4x^2 \) on the interval \([0, 5]\).

**Instructions:**

1. Identify the function and the interval: 
   - Function: \( f(x) = 4x^2 \)
   - Interval: \([0, 5]\)

2. Apply integration techniques using symbolic notation and fractions where needed to determine the area under the curve within the specified interval.

**Note:** The Fundamental Theorem of Calculus relates the concept of differentiating a function to that of integrating a function.
Transcribed Image Text:**Title: Application of the Fundamental Theorem of Calculus** **Objective:** Use the Fundamental Theorem of Calculus, Part 1, to find the area of the region under the graph of the function \( f(x) = 4x^2 \) on the interval \([0, 5]\). **Instructions:** 1. Identify the function and the interval: - Function: \( f(x) = 4x^2 \) - Interval: \([0, 5]\) 2. Apply integration techniques using symbolic notation and fractions where needed to determine the area under the curve within the specified interval. **Note:** The Fundamental Theorem of Calculus relates the concept of differentiating a function to that of integrating a function.
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