Explanation Given information: The equation of the curve is y = 2 + sin 3 t and the range of the t is t = 0 to t = π 2 Formula used: If the function f ( t ) is non-negative throughout the interval t = a to t = b , then the area under the graph of f ( t ) from t = a to t = b is ∫ a b f ( t ) d t Calculation: The shaded region in the below figure shows the area under the given curve. The area under the graph of f ( t ) = y = 2 + sin 3 t from t = 0 to t = π 2 is equal to ∫ 0 π / 2 f ( t ) d t = ∫ 0 π / 2 ( 2 + sin 3 t ) d t

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ISBN: 9780137590438

Author: Goldstein

Publisher: PEARSON

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Chapter 8, Problem 52RE

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To calculate: The area under the curve y=2+sin3t from t=0 to t=π2

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Chapter 8, Problem 51RE

Chapter 8, Problem 53RE

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Chapter 8 Solutions

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Ch. 8.1 - A right triangle has one angle of /3 radians. What...Ch. 8.1 - Prob. 2CYU Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Give the radian measure of each angle described.Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E Ch. 8.1 - Prob. 11E Ch. 8.1 - Prob. 12E Ch. 8.1 - Prob. 13E Ch. 8.1 - Prob. 14E Ch. 8.1 - Prob. 15E Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.2 - Find cost, where t is the radian measure of the...Ch. 8.2 - Prob. 2CYU Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - In Exercises 112, give the values of sint and...Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E Ch. 8.2 - Prob. 11E Ch. 8.2 - Prob. 12E Ch. 8.2 - Prob. 13E Ch. 8.2 - Prob. 14E Ch. 8.2 - Prob. 15E Ch. 8.2 - Prob. 16E Ch. 8.2 - Prob. 17E Ch. 8.2 - Prob. 18E Ch. 8.2 - Prob. 19E Ch. 8.2 - Prob. 20E Ch. 8.2 - Prob. 21E Ch. 8.2 - Prob. 22E Ch. 8.2 - Prob. 23E Ch. 8.2 - Prob. 24E Ch. 8.2 - Prob. 25E Ch. 8.2 - Prob. 26E Ch. 8.2 - Prob. 27E Ch. 8.2 - Prob. 28E Ch. 8.2 - Prob. 29E Ch. 8.2 - Prob. 30E Ch. 8.2 - Prob. 31E Ch. 8.2 - Prob. 32E Ch. 8.2 - Prob. 33E Ch. 8.2 - Prob. 34E Ch. 8.2 - 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The area under the curve y = 2 + sin 3 t from t = 0 to t = π 2

Solution Summary: The author calculates the area under the curve y=2+mathrmsin3t, based on the equation.

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To calculate: The area under the curve y=2+sin3t from t=0 to t=π2

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Chapter 8 Solutions