14 onsider the continuous function g(1) = tsin(t) and the definite integral g(1) dt. 1 Complete the table below and give exact function values. Do not show calculations. n-3 g(1) 5.2 Use a right-hand sum with n= 3 to estimate 14 | g(1) dt. Write down the exact answer. An antiderivative of the function g(t) is sin(1)- rcos(t). Show how you use the fundamental theorem to calculate the definite integral. Give your answer as a decimal number, rounded to three deeimal places. 5.3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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5.2 and 5.3
14
Consider the continuous function g(t) tsin(r) and the definite integral
g(1) dt.
5.1 Complete the table below and give exact function values. Do not show caleulations.
2.
n-3
8(4)
5.2 Use a right-hand sum with n= 3 to estumate
14
| g(r) dt. Write down the exact answer.
An antiderivatiIve of the function g() is sin(1)rcos(1).
Show how you use the fundamental theorem to calculate the definite integral.
Give your answer as a decimal number. rounded to three decimal places.
5.3
Transcribed Image Text:14 Consider the continuous function g(t) tsin(r) and the definite integral g(1) dt. 5.1 Complete the table below and give exact function values. Do not show caleulations. 2. n-3 8(4) 5.2 Use a right-hand sum with n= 3 to estumate 14 | g(r) dt. Write down the exact answer. An antiderivatiIve of the function g() is sin(1)rcos(1). Show how you use the fundamental theorem to calculate the definite integral. Give your answer as a decimal number. rounded to three decimal places. 5.3
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