Evaluate the double integral xy^2 dA, D is enclosed by x=0

Mylo O'Moore

Mylo O'Moore

Answered question

2021-10-08

Determine the value of the double integral  xy2 dA, D which is bounded by x=0 and x=(1y2)12

Answer & Explanation

Bertha Stark

Bertha Stark

Skilled2021-10-09Added 96 answers

Here, it's crucial to pay attention to the integral's limits. X is presented as a function of y from one side and as 0 from the other, with y varying between -1 and 1. We set up the interal and calculate it: 
1101y2xy2 dx  dy =11y2y42 dy =215 
Result: 
215

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