confused_07
Junior Member
- Joined
- Feb 13, 2007
- Messages
- 62
This is my first one 
:
Find int x sqrt(9+x^2)
= x(9+x^2)^(1/2)
Let u = 9+x^2
Let du = 2x
= (x/2x) int (9+x^2)^(1/2) * (2x)
= (1/2) int u^1/2 * du
= (1/2) * [u^(1/2) / (3/2)] + C
= (1/2) * [(2/3) u^(3/2)] + C
= (1/3)(9+x^2)^(3/2) + C
Is this right?
:Find int x sqrt(9+x^2)
= x(9+x^2)^(1/2)
Let u = 9+x^2
Let du = 2x
= (x/2x) int (9+x^2)^(1/2) * (2x)
= (1/2) int u^1/2 * du
= (1/2) * [u^(1/2) / (3/2)] + C
= (1/2) * [(2/3) u^(3/2)] + C
= (1/3)(9+x^2)^(3/2) + C
Is this right?
