Explanation Let there be a continuous function f ( x , y ) on R = [ a , b ] × [ c , d ] , then the below integrals are referred to as iterated integrals. ∬ R f ( x , y ) d A = ∫ a b ∫ c d f ( x , y ) d y d x = ∫ c d ∫ a b f ( x , y ) d x d y Given: An iterated integral as ∫ − 2 3 ∫ 2 4 5 d y d x Formula Used: Integration of the below functions: 1. Constant Function: ∫ a d x = a x + c 15. Variable Function: ∫ x d x = x 2 2 + c 30. Reciprocal Function: ∫ 1 x d x = l n | x | + c 45. Exponential Function: ∫ e x d x = e x + c 59. Trigonometric Function: a. ∫ s i n ( x ) d x = - c o s ( x ) + c q. ∫ c o s ( x ) d x = s i n ( x ) + c 60. Sum Rule of Derivative: ∫ ( f + g ) d x = ∫ f d x + ∫ g d x 78...

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 16.1, Problem 3PQ

To determine

Compute the integral of the constant function $f (x, y) = 5$ over the rectangle $[- 2, 3] \times [2, 4]$ .

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Chapter 16.1, Problem 2PQ

Chapter 16.1, Problem 4PQ

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Chapter 16 Solutions

CALCULUS (CLOTH)

Ch. 16.1 - Prob. 1PQ Ch. 16.1 - Prob. 2PQ Ch. 16.1 - Prob. 3PQ Ch. 16.1 - Prob. 4PQ Ch. 16.1 - Prob. 5PQ Ch. 16.1 - Prob. 6PQ Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E

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Compute the integral of the constant function f ( x , y ) = 5 over the rectangle [ − 2 , 3 ] × [ 2 , 4 ] .

Solution Summary: The author calculates the integral of the constant function f (x, y) = 5 over the rectangle.

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Compute the integral of the constant function $f (x, y) = 5$ over the rectangle $[- 2, 3] \times [2, 4]$ .

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Chapter 16 Solutions

Compute the integral of the constant function f ( x , y ) = 5 over the rectangle [ − 2 , 3 ] × [ 2 , 4 ] .

Solution Summary: The author calculates the integral of the constant function f (x, y) = 5 over the rectangle.

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Compute the integral of the constant function f(x, y ) = 5over the rectangle [−2, 3] × [ 2, 4].

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Chapter 16 Solutions

Compute the integral of the constant function $f (x, y) = 5$ over the rectangle $[- 2, 3] \times [2, 4]$ .