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# p3 intergration question watch

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1. its q20 in the heinemain p3 REVISION book, in the intergration section:

prove that: { (x^2+4) / (x^2 - 4) dx = 1 +2ln(5/3)

between 4 and 3

i used partial fractions then intergrated, and got:

x + 8ln(x^2 -4)

is this correct?????????????????????????

2. (Original post by Asha)
its q20 in the heinemain p3 REVISION book, in the intergration section:

prove that: { (x^2+4) / (x^2 - 4) dx = 1 +2ln(5/3)

between 4 and 3

i used partial fractions then intergrated, and got:

x + 8ln(x^2 -4)

is this correct?????????????????????????

I got ln[2r7r9]
3. (Original post by Asha)
its q20 in the heinemain p3 REVISION book, in the intergration section:

prove that: { (x^2+4) / (x^2 - 4) dx = 1 +2ln(5/3)

between 4 and 3

i used partial fractions then intergrated, and got:

x + 8ln(x^2 -4)

is this correct?????????????????????????

No, since you've integrated 1/(x^2-4) to ln x^2 -4, which isn't right, try differentiating ln x^2-4.

Now we have x^2+4/x^2 -4 = 1 + 8/x^2-4. Now write x^2-4 = (x+2)(x-2), split 8/(x+2)(x-2) into partial fractions and then integrate.
4. thanks people,
5. (Original post by Bhaal85)
I got ln[2r7r9]
Dont know where the 1 comes from.

2ln(5/3) = ln[2r7r9]

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