In the integral, โซโซ๐ท(2๐๐ฅ3๐ฆโ5๐ฆ2)๐๐ฆ๐๐ฅ,ย where ๐ทis the region the integral is to be evaluated, tthe constants during the first integration is/are:
Question
In the integral, โซโซ๐ท(2๐๐ฅ3๐ฆโ5๐ฆ2)๐๐ฆ๐๐ฅ,ย where ๐ทis the region the integral is to be evaluated, tthe constants during the first integration is/are:
Solution
In the given double integral, โซโซ๐ท(2๐๐ฅ3๐ฆโ5๐ฆ2)๐๐ฆ๐๐ฅ, the constants during the first integration (with respect to y) are the terms that do not involve y.
Here, the only term that does not involve y is 2๐๐ฅ3. However, this term is multiplied by y in the integrand, so there are no constants during the first integration.
In other words, all terms in the integrand are functions of y, so there are no constants when integrating with respect to y.
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