prove-that-e-x-dx-e-x-c- Tinku Tara June 3, 2023 Integration 0 Comments FacebookTweetPin Question Number 66245 by aliesam last updated on 11/Aug/19 provethat∫exdx=ex+c Commented by Rio Michael last updated on 11/Aug/19 lety=exdydx=ex∫dydx=∫exdx⇒y=ex+c Commented by mathmax by abdo last updated on 11/Aug/19 ∫exdx=∫(∑n=0∞xnn!)dx=∑n=0∞1n!∫xndx=∑n=0∞1n!1n+1xn+1+c=∑n=0∞xn+1(n+1)!+c=∑n=1∞xnn!+c=∑n=0∞xnn!+c−1=ex+C(C=c−1) Answered by mr W last updated on 12/Aug/19 sinced(ex+c)dx=d(ex)dx+d(c)dx=ex+0=ex⇒∫exdx=ex+c Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Find-the-derivative-of-g-x-tan-x-x-2-1-2-t-4-dt-Next Next post: find-the-integral-in-five-different-ways-x-2-1-x-1-2-3-dx- Leave a Reply Cancel replyYour email address will not be published.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.