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 February 13th, 2012, 07:16 PM #1 Member   Joined: Aug 2011 From: United States Posts: 32 Thanks: 0 How do I solve this conceptual integral problem? Here is the scan of the problem: http://i154.photobucket.com/albums/s...lproblem15.jpg I am decent at integrating mathematically, but I am stuck on this particular conceptual problem. Can someone help me figure it out?
 February 13th, 2012, 07:21 PM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,767 Thanks: 5 Re: How do I solve this conceptual integral problem? This is the FTC. http://en.wikipedia.org/wiki/Fundamenta ... econd_part
 February 13th, 2012, 07:25 PM #3 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: How do I solve this conceptual integral problem? Yes, the anti-derivative form of the FTOC (fundamental theorem of calculus) states directly that choice D) is correct.
 February 13th, 2012, 07:40 PM #4 Member   Joined: Aug 2011 From: United States Posts: 32 Thanks: 0 Re: How do I solve this conceptual integral problem? Wow, I'm so dumb for forgetting the 2nd Fundamental Thereom conceptually because I've applied several times when integrating definite integrals.
 February 13th, 2012, 07:43 PM #5 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: How do I solve this conceptual integral problem? I bet you won't forget it again! Some of the things I remember best are from the mistakes I've made.

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