## anonymous 5 years ago how do i find the area between f(x)= x^2+1 and g(x)= 11-x^2

1. dumbcow

$\int\limits_{a}^{b}(g(x) - f(x)) dx$

2. amistre64

you need to have bounds; if the two cross paths you can use that, but an interval is usually stated.

3. anonymous

i found the bounds to be -sqrt(5) and sqrt(5) but when i put them into the integral equation, i get some crazy number that isn't right...

4. anonymous

Did you integrate yet?

5. anonymous

right now i have [(1/3)x^3+x]-[11x-(1/3)x^3] for the two integrals

6. amistre64

7. anonymous

what am i doing half of?

8. dumbcow

instead of integrating from -sqrt(5) to sqrt(5), integrate from 0 to sqrt(5) and then double your answer this is due to symmetry of parabolas

9. dumbcow

you have already done the integration just evaluate at sqrt(5) into what you posted above

10. anonymous

okay, thank you =)

11. dumbcow