I'm stuck with this problem - I can barely even understand what it says!
3. Let f(x) be a continuous function on the interval [a,b]. If
G(t) = (the integral from a to t) f(x) dx
for a<t<b*, show that G '(t) = f(t).
*these should actually be "equal to or less than" signs, but I don't know how to type mathematical signs on a forum.
August 11th 2010, 10:32 PM
This is just the fundamental theorem of calculus and you are asked to prove it for this interval. You enter \ge for greater or equal and \leq for less than or equal.
To do the question you should consider the difference quotient
then let h go to zero.
August 12th 2010, 03:54 AM
To use "LaTex" on this site, enclose the code in [ math ] and [ \math ] (without the spaces). To see the code for specific math in posts, double click on it.
There is a tutorial at http://www.mathhelpforum.com/math-help/f47/