let-A-n-0-n-2-e-x-2-y-2-x-2-y-2-dxdy-1-calculste-A-n-interm-of-n-2-find-lim-n-A-n- Tinku Tara June 4, 2023 Integration 0 Comments FacebookTweetPin Question Number 104773 by mathmax by abdo last updated on 23/Jul/20 letAn=∫∫[0,n[2e−x2−y2x2+y2dxdy1)calculsteAnintermofn2)findlimn→+∞An Answered by mathmax by abdo last updated on 24/Jul/20 1)wedothechangement{x=rcosθy=rsinθ0⩽x<nand0⩽y<n⇒0⩽x2+y2<2n2⇒0⩽r2<2n2⇒0⩽r<n2⇒An=∫0n2∫0π2e−r2rrdrdθ=π2∫0n2e−r2dr2)limn→+∞An=π2∫0∞e−r2dr=π2×π2=ππ4 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: If-a-petrol-tank-costs-2000-00-to-fill-it-up-at-10-C-how-much-extra-dollar-must-I-pay-to-fill-up-the-tank-at-50-C-if-the-petrol-costs-50-00-per-litre-and-its-cubic-expansivity-is-9-5-10-4-K-1-Next Next post: let-x-x-3-x-1-1-prove-that-have-one-real-root-2-determine-a-approximate-value-for-by-use-of-newton-method-3-factorise-inside-R-x-f-x-4-calculste-dx-x- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.