After working an integration problem for the area formed by two intersecting line functions (8-y) - (y-2)2/3 dy  between -4 and 5 in which I let u subsitition equal the (y-2)2/3 as follows: A = intergration from -4 to 5 (correctly checked) of (8-y) - ( u ) dy  gave an answer that was positive but did not match the book answer of 81/2.  My calculation for (dy ) was as follows:  du = (y2 - 4y + 4)/3  dy.  Since I am using this problem as a model to my understanding of Briggs Calculus chapter 6.2, 3rd ed., would you give me a step by step solution to this problem to help me understand the nature of my error(s)?

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After working an integration problem for the area formed by two intersecting line functions (8-y) - (y-2)2/3 dy  between -4 and 5 in which I let u subsitition equal the (y-2)2/3 as follows: A = intergration from -4 to 5 (correctly checked) of (8-y) - ( u ) dy  gave an answer that was positive but did not match the book answer of 81/2. 

My calculation for (dy ) was as follows:  du = (y2 - 4y + 4)/3  dy. 

Since I am using this problem as a model to my understanding of Briggs Calculus chapter 6.2, 3rd ed., would you give me a step by step solution to this problem to help me understand the nature of my error(s)?

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MathCalculus

Integration