December 6th, 2007, 05:38 PM  #1 
Newbie Joined: Dec 2007 Posts: 2 Thanks: 0  Fundamental Theorem of Calculus
can anyone help me with these 3 questions Use the fundamental theorem of calculus to show that: a<b b a int f(x)dx = int f(x)dx a b b b int kf(x)dx = Kintf(x)dx a a a<c<b c b b intf(x)dx+intf(x)dx = intf(x)dx a c a 
December 6th, 2007, 05:41 PM  #2 
Newbie Joined: Dec 2007 Posts: 2 Thanks: 0 
I cant get the a's and b's to line up. They should be over the int's (for integral)

December 7th, 2007, 04:06 PM  #3  
Global Moderator Joined: Dec 2006 Posts: 18,954 Thanks: 1601  Quote:
 
December 9th, 2007, 01:22 PM  #4 
Senior Member Joined: May 2007 Posts: 402 Thanks: 0 
If F'(x)=f(x) then: a ∫f(x)dx=F(a)F(b) b This should solve all of them! 

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