Definite integral of semicircle (1 Viewer)

[edmund gosse]

Am I right in thinking that the only way to evaluate the definite integral y=sqrt(9-x^2) from -3 to 3 is Simp/ Trap rule or by using formula for area of semicircle or by using substitution where x =3sin theta?

Are there any other ways? (from the ext 1 course?)

 

[clintmyster]

Am I right in thinking that the only way to evaluate the definite integral y=sqrt(9-x^2) from -3 to 3 is Simp/ Trap rule or by using formula for area of semicircle or by using substitution where x =3sin theta?

Are there any other ways? (from the ext 1 course?)

Well if its a semicircle could you not use the formula A = 1/2(pi x r^2)?
your radius would be 3 in this case.

Other than that I think you've covered every method. Who knows, I might be wrong

 

[Timothy.Siu]

use semicricle or substitution,

trap/simpsons is more of an approximation