## anonymous 5 years ago how do i find the anti derivative of 9-4x^2 all raised to 1/2

1. anonymous

first raise everything to the (1/2) power. 9^(1/2) - 4^(1/2)(x^2)^(1/2) and get 3 - 2x.

2. anonymous

apparently i need to use the table of integrals and it says perhaps one substitutions

3. anonymous

ok would that be finding the perfect square?

4. anonymous

yeah theyre all perfect squares. its easy to get the anti derivative now

5. anonymous

how do i do it with table of integrals?

6. anonymous

the table is just all the rules for finding the anti derivative aka integral

7. anonymous

$\sqrt{9-4x^2}$ fits into square root of a^2 +or- x^2 but laves 1 over the square root of a^2-x^2 to still be found

8. anonymous

i cant get it to fit into any other equation

9. anonymous

sorry i wasnt looking at it right http://www.wolframalpha.com/input/?i=integral+%289-4x^2%29^%281%2F2%29

10. anonymous

copy the whole thing dont click

11. anonymous

k

12. anonymous

how do i tell what equations it used though?

13. anonymous

ok i see thank you so much!!!!!!!!!