Michael Swan thinks this is interesting: set u = cos x and derive with respect to x to get du = –sin x dx From 15 Antiderivatives from Calculus I by W. Michael Kelley Publisher: Alpha Released: July 2016 Note Why is it negative sin?? According to the list earlier in the chapter the integral of cos X is sin x + C> How did C go away and sin become negative???? Share this highlight http://www.safaribooksonline.com/a/calculus-i/11008794/ Twitter Facebook Google Plus Email Get Instant Access Now Start a Free Trial Have an account? Sign in. Minimise Unlock the rest of Calculus I and 30,000 other books and videos By clicking this box, you confirm that you have read and agree to the terms and conditions of our Membership Agreement, and you understand that when your trial period ends, you will be required to provide billing information if you wish to continue using the service. Unlock the rest of this book Start a Free 10-Day Trial loading Learn about Safari for Business Have an account? Sign in.