2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 b. The area above the x – axis and below y = 4x - x2 c. The area between y = sin x and the x – axis for 0 < x< n 3. Compute f (x)dx f(x) = { 2x if x <1 4 if x21 4. Find the integral of your answer in problems 2a and 2b.

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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ANSWER NUMBERS 3&4 ONLY AND PROVIDE COMPLETE SOLUTION
Solve the following problems on bond papers (maximum 3 bond papers) with ½ inch margin
on all sides. Show your complete solution. Solutions should be handwritten.
1. Use the midpoint rule with n = 6 to estimate the value of the integral (x3 + x)dx.
2. Write the given (total) area as an integral.
a. The area above the x – axis and below y = 4 – x²
b. The area above the x – axis and below y = 4x – x²
c. The area between y = sin x and the x – axis for 0 < x < n
3. Compute f (x)dx
2x if x < 1
4 if x 21
f (x) =
4. Find the integral of your answer in problems 2a and 2b.
Transcribed Image Text:Solve the following problems on bond papers (maximum 3 bond papers) with ½ inch margin on all sides. Show your complete solution. Solutions should be handwritten. 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x3 + x)dx. 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x² b. The area above the x – axis and below y = 4x – x² c. The area between y = sin x and the x – axis for 0 < x < n 3. Compute f (x)dx 2x if x < 1 4 if x 21 f (x) = 4. Find the integral of your answer in problems 2a and 2b.
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