Hi im having trouble on where to start, im trying to itegrate sin(x)/cos^2(x). Should i make a u subsitution, if so for what?

Printable View

- May 18th 2008, 01:51 PMcowboys111help integrating
Hi im having trouble on where to start, im trying to itegrate sin(x)/cos^2(x). Should i make a u subsitution, if so for what?

- May 18th 2008, 01:52 PMMoo
- May 18th 2008, 02:06 PMChris L T521
- May 18th 2008, 02:09 PMcowboys111
cool thank you!!

- May 18th 2008, 02:13 PMMoo
- May 18th 2008, 02:26 PMgalactus
I have had several tell me that in Europe they do not deal with sec,csc,cot at all.

Wonder why?.

For your benefit. Their derivatives:

- May 18th 2008, 02:28 PMMoo
In France, we've never seen such formulae... Only dealing with cos, tan, sin, and that was enough ^^ (in my high school...can't tell about all the others). Why ? I don't know, maybe because cot, csc, sec are known with sin, cos, tan... ~

It's the same for the substitution. It seems that for you it's common to substitute, but here, we just recognize the derivative and apply formulae of antiderivatives we know :p

Actually, by "here" in my previous post, I meant the equality of Chris where an antiderivative of sec*tan is sec..

Edit : thanks a bunch ! - May 18th 2008, 02:32 PMgalactus
In my previous post, I went ahead and posted the derivatives of those functions.

- May 18th 2008, 02:38 PMgalactus
Here are their antiderivatives, Moo:

- May 18th 2008, 02:41 PMMoo
Really weird stuff :D

Thanks (Wink) - May 18th 2008, 02:43 PMgalactusQuote:

Why ? I don't know, maybe because cot, csc, sec are known with sin, cos, tan... ~

One thing I noticed about calculators that do have them (such as the Voyage 200, TI-92, TI-89), they have the functions but only display in terms of sine and cosine. For instance, if you wanted the antiderivative of sec(x), the calculator displays it as instead of

- May 18th 2008, 05:55 PMChris L T521