# Integral and Fundamental Theorem of Calculus

1. Jul 14, 2008

### jkeatin

1. The problem statement, all variables and given/known data
Find $$2 \int 0 \$$ (2-x^2)dx

using def of the definite integral and
using FTC

2. Relevant equations

3. The attempt at a solution
any help on how to start would be great?

2. Jul 14, 2008

### Defennder

This looks really odd. Do you really mean $$2\int 0^{2-x^2} dx$$?

3. Jul 15, 2008

### camilus

naw.I think he means integral from 0 to 2 of 2-x^2..??

4. Jul 15, 2008

### jkeatin

yeah camilus is right

5. Jul 15, 2008

### jkeatin

am i gettin it close, lim n-->infinity {[8/n^3(i^2)] +4}

6. Jul 15, 2008

### camilus

integral from 0 to 2 of 2-x^2 = [2x-(x^3)/3] evaluated at 2. You can ignore the zero.

2(2)-(2^3)/3 = 4 - 8/3 = (12 - 8)/3 = 4/3

7. Jul 15, 2008

### jkeatin

oh i get ya, and using ftc id get the same answer just a different way correct?

8. Jul 15, 2008

### jkeatin

thanks for the help camilus