Question

INTEGRATION: How would you integrate sqrt(4 - x^2) on [-2, 2]? appreciate the help

Answer 1

let y = sqrt (4- x^2), we can see y^2+x^2=4,that is a disk ,when x in between -2 to 2, across to the definetion of integrate ,the integrate we want,is just the area up x axis ,which is a half disk,
so ,the answer is 2pi