This video demonstrates how to do anti-differentiate functions with radicals in calculus. To simply problems, try to substitute. For example, in the problem, the integral of x times the square root of x plus 2 dx. You can substitute w for everything underneath the radical: i.e. x + 2. When you simplify, it becomes: the integral of x times the square root of w dw. Now, you need to get rid of the x, which you can do with a substitution: w – 2 = x. Now, plug in the values and simplify it. The final answer should be, after simplification, 2/5 (x + 2)5/2 – 4/3 (x + 2 )3/2 + C. The key is to substitute and simplify, then you can apply basic rules of algebra.
Home
Math How to Antidifferentiate functions with radicals in calculus

By ryan
Apr 22, 2010 03:18 PM
The next big software update for iPhone is coming sometime in April and will include a Food section in Apple News+, an easy-to-miss new Ambient Music app, Priority Notifications thanks to Apple Intelligence, and updates to apps like Mail, Photos, Podcasts, and Safari. See what else is coming to your iPhone with the iOS 18.4 update.
Comments
Be the first, drop a comment!