Recent content by tdwp

Argh, yes I did copy it wrong. It should be (f(0)+f(b))/2.

Homework Statement Let f be a differentiable function defined for all x>=0 such that f(0)=5 and f(3)=-1. Suppose that for any number b>0, the average value of f(x) on the interval 0<=x<=b is (f(0)+f(b))/x a. Find the integral of f(x) from 0 to 3. b. Prove that f'(x)=(f(x)-5)/x for all x<0. c...

Fundamental Theorem of Calculus: Let f be a function that is continuous on [a,b]. Part 1: Let F be an indefinite integral or antiderivative of f. Then Part 2: is an indefinite integral or antiderivative of f or A'(x) = f(x)

http://img527.imageshack.us/img527/8089/fr2rl4.gif I know part a is the fundamental theorem of calculus, but I am not quite sure how to manipulate the integral to find part i or part ii. Part b is again the fundamental theorem of calculus, but I am having a hard time solving for the...