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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? 
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 antiderivative 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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