integral

[jenjen07]

Hi, I need help with this problem. Define a function F on [1,8] such that F'(x) = 1/x and (a) F(2) = 0; (b) F(2) = -3 I need to write this as an integral and I don't have to evaluate it. Thank you so much for you help. Jen

[shmoe]

Use the (second) fundamental theorem of calculus- given any continuous function it gives a way to construct an antiderivative. Do you know how to use this to get a function that satisfies F'(x)=1/x?

Do this first, then worry about the extra F(2) conditions.