Explanation Formula used: Integration by parts: “If u and v are differentiable functions, then ∫ u d v = u v − ∫ v d u .” Calculation: The rate of change of revenue is given as R ′ ( x ) = x ( x − 50 ) 1 2 where x is the number of toasters sold. Solve the above integral with the help of integration by parts by letting u = x and d v = ( x − 50 ) 1 2 . d u d x = 1 d u = d x ∫ d v = ∫ ( x − 50 ) 1 2 d x v = ( x − 50 ) 3 2 3 2 v = 2 3 ( x − 50 ) 3 2 Substitute the corresponding values in ∫ u d v = u v − ∫ v d u , ∫ x ( x − 50 ) 1 2 d x = x 2 3 ( x − 50 ) 3 2 − ∫ 2 3 ( x − 50 ) 3 2 d x = 2 3 x ( x − 50 ) 3 2 − 2 3 ( x − 50 ) 5 2 5 2 = 2 3 x ( x − 50 ) 3 2 − 4 15 ( x − 50 ) 5 2 Find the total revenue from 50 th to 75 th sale

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ISBN: 2818440028625

Author: Lial

Publisher: ELSEVIER

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Chapter 8, Problem 47RE

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To find: The total revenue of the toaster ovens from the sale of 50^th to 75^th.

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Chapter 8, Problem 46RE

Chapter 8, Problem 48RE

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Ch. 8.1 - YOUR TURN 1 Find Ch. 8.1 - YOUR TURN 2 Find Ch. 8.1 - YOUR TURN 3 Find Ch. 8.1 - YOUR TURN 4 Find . Ch. 8.1 - YOUR TURN 5 Find Ch. 8.1 - Prob. 1WE Ch. 8.1 - Find the following. W2. Ch. 8.1 - Find the following. W3. Ch. 8.1 - Find the following. W4. Ch. 8.1 - Use integration by parts to find the integrals in...

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The total revenue of the toaster ovens from the sale of 50 th to 75 th .

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To find: The total revenue of the toaster ovens from the sale of 50th to 75th.

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To find: The total revenue of the toaster ovens from the sale of 50^th to 75^th.