Homework Help: Antiderivatives

Posted by Raj on Tuesday, January 22, 2008 at 10:01pm.

I can't figure this one out, the antiderivative of x^-1.

I thought it would be c, but the derivative of c is zero.

Antiderivatives - drwls, Tuesday, January 22, 2008 at 11:20pm
That would be the integral of 1/x. It is called the natural logarithm of x, or ln x.

You can't use the rule that the integral of x^n is x^(n+1)/(n+1) on this one, because n = -1 and you get a zero denominator
- Antiderivatives - Anonymous, Wednesday, January 23, 2008 at 11:29am
  Integration of 1/x with respect to x is nayural logarithm of x
  - Antiderivatives - aayush, Wednesday, January 23, 2008 at 11:31am
    Integration of 1/x with respect to x is natural logarithm of x

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