find-I-n-x-0-t-n-e-xt-dt-x-gt-0-n-N- Tinku Tara June 4, 2023 Integration 0 Comments FacebookTweetPin Question Number 31095 by abdo imad last updated on 02/Mar/18 findIn(x)=∫0∞tne−xtdtx>0n∈N. Commented by abdo imad last updated on 04/Mar/18 ch.xt=ugiveIn(x)=∫0∞(ux)ne−udux=1xn+1∫0∞une−uduletputAn=∫0∞une−udubypartsAn=[−une−u]0∞+∫0∞nun−1e−udu=nAn−1⇒∏k=1nAk=n!∏k=1nAk−1⇒An=n!A0=n!(A0=1)⇒In(x)=n!xn+1. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: calculate-0-e-x-2-cos-2xy-dx-Next Next post: If-the-ratio-of-the-roots-of-equation-ax-2-2bx-c-0-is-same-as-the-ratio-of-the-roots-of-px-2-2qx-r-0-where-a-b-c-p-r-are-non-zero-real-numbers-Then-the-value-of-b-2-q-2-p-a-r-c-is- Leave a Reply Cancel replyYour email address will not be published.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.