in the question
we have to evaluate this integral by converting into polar integral
i know x=rcosa and y=rsina then we can use jacobian and write dydx as rdrda the only problem is how to find the limits of integration please help
Follow Math Help Forum on Facebook and Google+
Originally Posted by prasum Perhaps you haven't quoted it correctly. Take into account that if , then is not defined in .
it is thomas and finney calculus 9th edition question in ex 13.3
Originally Posted by prasum it is thomas and finney calculus 9th edition question in ex 13.3 Surely it is a typo. I suppose he meant . In such case, the integration domain is .
sorry it is sqrt(1-(x-1)^2) instead of sqrt(1-x^2)
Originally Posted by prasum sorry it is sqrt(1-(x-1)^2) instead of sqrt(1-x^2) That is another thing. The integration domain is limited by the circle (equivalently ) and (upper semidisk). Using polar coordinates we get (equivalently ). As a consequence the integration domain is
View Tag Cloud