- Aug 18th 2009, 06:21 AMBucephalus[SOLVED] Can someone give me a start integrating this please?

- Aug 18th 2009, 06:35 AMsongoku
Hi Bucephalus

If k is a constant, you can try :

1. Let :

or

2. Partial fraction by first factoring the denominator - Aug 18th 2009, 07:45 AMBucephalusMore understanding please
Hi Songoku

Two things:

1) I want to understand how you got that expression in your first helper.

2) I have done partial fraction decomposition before, but I don't understand what you're saying "factoring the denominator"

I'm sorry, I'm really having trouble understanding.

bucephalus - Aug 18th 2009, 08:02 AMmr fantastic
- Aug 18th 2009, 10:20 AMsongoku
Hi Bucephalus

Quote:

I want to understand how you got that expression in your first helper

Using will change the denominator to :

In fact, you also can use : because it will be relevant to identity :

If the question turns out to be , you can use substitution : because it is relevant to identity :

For the second one, follow Mr. F suggestion :

Quote:

Factorise

- Aug 19th 2009, 02:33 AMBucephalusFactorising
so factorise this.

The only way I can think of to factorise this is:

Is this what you mean? - Aug 19th 2009, 04:09 AMpickslides

now using the difference of two squares

You get

So now

Find A and B and the integral will be alot easier in this form. - Aug 19th 2009, 04:18 AMBucephalusThanks Pickslides
That's an awesome response.

Thanks for your help.