Posted by thomas on Tuesday, November 3, 2009 at 12:06am.
f'(x) = x - 1/x
Integrate one term at a time.
f(x) = x^2/2 - ln x + C
If f(1) = 1/2, then C = 0
(for x>0 only)
I'm not sure how to handle the f(-1) = 0 case. You can't take a log of a negative number.
Related Questions
math - Consider the function f(t)=2sec^2(t)–6t^2 . Let F(t) be the ...
Antiderivative - What is the antiderivative of e^2x? I know the antiderivative ...
Calculus - What is the antiderivative of this? What is the antiderivative of x...
AP Calculus BC - Hi! Thank you very much for your help--- I'm not sure what ...
Calculus (Antiderivatives) - What is the antiderivative of the followring ...
Calculus - can someone help me find the antiderivative of: f(x)=4x times the ...
Math - Find the most general antiderivative of the function. (Check your answer ...
Calculus (Antiderivatives) - Suppose f(x) is a continuous function. Then a ...
math - what would the antiderivative of e^-2x be? and if the antiderivative of ...
Calculus II - Can someone help me with this problem? Find f if f''(x) = ...
For Further Reading
