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1. Using the geometric interpretation of the definite integral, find the value of the integral be So (2x + 3) dr

1. Using the geometric interpretation of the definite integral, find the value of the integral be So (2x + 3) dr

Calculus: Early Transcendentals
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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1. Using the geometric interpretation of the definite integral, find the value of the integral below. So (2x + 3) dx 2. Find the antiderivative of f (2x +3) dx After you find that antiderivative, evaluate it at 1 and subtract the value of the antiderivative evaluated at 0 from that. We will go over this in more detail in when we learn the Fundamental Theorem of Calculus. For now, if the antiderivative is F, we can evaluate F (1) – F (0) to answer this question. How does your answer compare to #1? 3. Part a) Use what was taught in the video to evaluate this integral geometrically. It helps to draw a picture. 9 – (x – 3)2 ) dx. Part b) Using your answer to the problem above, tell me what the area under the curve of the same integrand with new limits of integration x=0 to x=6 is?
Transcribed Image Text:1. Using the geometric interpretation of the definite integral, find the value of the integral below. So (2x + 3) dx 2. Find the antiderivative of f (2x +3) dx After you find that antiderivative, evaluate it at 1 and subtract the value of the antiderivative evaluated at 0 from that. We will go over this in more detail in when we learn the Fundamental Theorem of Calculus. For now, if the antiderivative is F, we can evaluate F (1) – F (0) to answer this question. How does your answer compare to #1? 3. Part a) Use what was taught in the video to evaluate this integral geometrically. It helps to draw a picture. 9 – (x – 3)2 ) dx. Part b) Using your answer to the problem above, tell me what the area under the curve of the same integrand with new limits of integration x=0 to x=6 is?
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