I did this exercises, but I have a doubt in the process, thanks for your help.

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- Dec 1st 2006, 11:00 AMron007Inverse Trig Function Integrals
I did this exercises, but I have a doubt in the process, thanks for your help.

- Dec 1st 2006, 11:23 AMThePerfectHacker
The integral,

Is almost the inverse cosecant integral.

There are some adjustments. First,

Thus, it has form,

But note the following, that if the problem asked for,

Then the answer would be,

But it does not ask that.

In that case the integral is,

- Dec 1st 2006, 12:28 PMron007
Thanks but that is the integral of the secant, the cosecant is the same as the secant, but with negative sign. I did this:

- Dec 1st 2006, 12:44 PMSoroban
Hello, ron007!

If you're not familiar with the arcsecant formula,

. . there's always Trig Substitution.

Quote:

Let

Then: .

. .

Substitute: .

Back-substitute

We have: .

Therefore, the answer is: .

- Dec 1st 2006, 12:47 PMron007
- Dec 1st 2006, 09:06 PMJameson
- Dec 2nd 2006, 05:54 AMron007