find-L-e-x-a-a-with-a-0-and-L-laplace-transfom- Tinku Tara June 4, 2023 Integration 0 Comments FacebookTweetPin Question Number 38728 by maxmathsup by imad last updated on 28/Jun/18 findL(e−xaa)witha≠0andLlaplacetransfom. Commented by abdo mathsup 649 cc last updated on 29/Jun/18 L(1ae−xa)=∫0∞1ae−tae−xtdt=1a∫0∞e(−x−1a)tdt=1a[1−x−1ae(−x−1a)t]0+∞=1a1x+1a=1ax+1. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Calculate-for-n-N-0-dt-t-2-1-n-Notice-1-1-t-2-t-2-Next Next post: Entry-to-a-certain-University-is-determined-by-a-national-test-The-scores-on-this-test-are-normally-distributed-with-a-mean-of-500-and-a-standard-deviation-of-100-a-Find-the-probability-that-a Leave a Reply Cancel replyYour email address will not be published.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.
![L((1/a) e^(−(x/a)) )= ∫_0 ^∞ (1/a)e^(−(t/a)) e^(−xt) dt =(1/a)∫_0 ^∞ e^((−x−(1/a))t) dt =(1/a) [ (1/(−x−(1/a))) e^((−x−(1/a))t) ]_0 ^(+∞) =(1/a) (1/(x +(1/a))) = (1/(ax+1)) .](https://www.tinkutara.com/question/Q38777.png)