$\int 2 x^{1 / 2} [1 + (1 / x {)]}^{1 / 2} dx$

By Anonymous on Friday, March 9, 2001 - 12:25 pm :

I am having trouble with a way to integrate,
$\int 2 x^{1 / 2} [1 + (1 / x {)]}^{1 / 2} dx$
Thanks

By Kerwin Hui (Kwkh2) on Friday, March 9, 2001 - 02:05 pm :

Rewrite the integral as

$\int 2 (x + 1)^{1 / 2} dx$

and the answer should come out immediately.

Kerwin

By Anonymous on Friday, March 9, 2001 - 02:11 pm :

How did you get it in that form Kerwin?

By Kerwin Hui (Kwkh2) on Friday, March 9, 2001 - 03:27 pm :

Recall the formula a^1/2 b^1/2 =(ab)^1/2 .

Kerwin