Explanation Given information: The curve is y = cos t from t = 0 to t = π 2 Formula used: 1) Integral formula for the cosine function: ∫ cos t d t = sin t + C , where C is an arbitrary constant 2) If f ( x ) is a continuous non-negative function on the interval a ≤ x ≤ b , then the area under the graph of f ( x ) is, [Area under the graph of f from x = a to x = b ] = ∫ a b f ( x ) d x Calculation: y = cos t , t = 0 to t = π 2 Graph of the curve is given below:

15th Edition

ISBN: 9780137590896

Author: Larry J. Goldstein; David C. Lay; David I. Schneider; Nakhle H. Asmar; William Edward Tavernetti

Publisher: Pearson Education (US)

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Chapter 8.3, Problem 45E

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To calculate: Thearea under the curve y=cost from t=0 to t=π2.

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Chapter 8.3, Problem 44E

Chapter 8.3, Problem 46E

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Chapter 8 Solutions

Calculus & Its Applications

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

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Thearea under the curve y = cos t from t = 0 to t = π 2 .

Solution Summary: The author calculates the area under the curve y=mathrmcost, where C is an arbitrary constant.

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To calculate: Thearea under the curve y=cost from t=0 to t=π2.

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Chapter 8 Solutions