In my case, what would be the antiderivative of (9-6x)^-1

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- April 22nd 2010, 06:56 PMBugzLooneyanti-derivative of something raised to the -1?
In my case, what would be the antiderivative of (9-6x)^-1

- April 22nd 2010, 07:20 PMRiyzar
Is this a definite integral?

If so note that:

for

In another form:

for

You can then use U-Substitution to manipulate your problem to fit these parameters. - April 22nd 2010, 07:45 PMbhuang
for a function in the form of (ax+b)^-1, the antiderivative is (ln(ax+b)/a) +c,

so in your case:

the antiderivative would be (ln(-6x+9) / -6)+c.