Find the integral of (x^2+3)/(x^2+9)^1/2

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- June 18th 2006, 01:31 AMnath_quamIntegration Challenge
Find the integral of (x^2+3)/(x^2+9)^1/2

- June 18th 2006, 07:53 AMmalaygoelQuote:

Originally Posted by**nath_quam**

Change into and you will get the answer. - June 18th 2006, 03:42 PMSoroban
Hello, nath_quam!

Anyway we do it, it's not simple . . .

Quote:

Find:

Substitute:

. .

. .

The first integral must be done by parts (or a formula can be applied);

. .

. .

. . - June 19th 2006, 05:21 AMmalaygoel
Hello Soroban!

How are you.

Quote:

Originally Posted by**Soroban**

Keep Smiling

Malay - June 19th 2006, 06:38 AMSoroban
Hello, Malay!

Quote:

Please give a final touch to your post (change theta into x in the answer you got).

I'd be happy to . . . I'll simplify it to the bitter, bitter end.

We have: .

From , we have: .

So we have: .

. .

. .

. .

. .

. . . . . . . . . . . . . . . . . . . . . . . . .

Therefore: .

See what I mean?