Homework Help: Intergal Help!

1. Sep 28, 2007

yaho8888

1. The problem statement, all variables and given/known data

Find the intergal of $$s*(4-s)^\frac{1}{2}$$

2. Relevant equations

$$\int s*(4-s)^\frac{1}{2} dx$$

3. The attempt at a solution

using u sub
u = 4-s
s = 4-u

$$\int (4-u)*(u)^\frac{1}{2} du$$

$$\int 4u^\frac{1}{2}*u^\frac{3}{2}$$

then what?

Last edited: Sep 28, 2007
2. Sep 28, 2007

EnumaElish

You mean, $$\int (4u^\frac{1}{2}-u^\frac{3}{2})du$$

3. Sep 28, 2007

yaho8888

Yes, $$\int (4u^\frac{1}{2}-u^\frac{3}{2})du$$

to solve this do I just do the integral of the equation above then plug in 4-x for u?

4. Sep 28, 2007

bob1182006

yes, 4-s. I think your original integral was meant to be ds not dx right?