Evaluate-0-x-1-2020-x-2-2022-dx- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 166756 by HongKing last updated on 27/Feb/22 Evaluate:∫0∞(x+1)2020(x+2)2022dx=? Answered by Mathspace last updated on 27/Feb/22 x+2=t⇒I=∫2∞(t−1)2020t2022dt=∫2∞∑k=02020C2020ktk(−1)2020−kt2022dt=∑k=02020(−1)kC2020ktk−2022dt=∑k=02020(−1)kC2020k[1k−2021tk−2022]2∞=−∑k=02020(−1)kC2020kk−20212k−2022 Answered by mathsmine last updated on 27/Feb/22 =∫0∞(x+1x+2)2020.(1x+2)2dxu=x+1x+2=1−1(x+2)⇒du=dx(x+2)2=∫121u2020du=12021(1−122021) Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: calculate-3-dx-x-2-x-2-Next Next post: let-A-n-k-1-n-1-k-n-ln-1-k-n-calculate-lim-n-A-n- Leave a Reply Cancel replyYour email address will not be published.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.