im not sure how to do this ? im pretty sure is trig substitution ?
steps would be appriciated !!
thanks in advance :D
steps would be appriciated !!
thanks in advance :D
-
sqrt(a^2-x^2) = (a)sqrt(1-(x/a)^2)
Let x/a = sin(u)
dx = (a)cos(u)du
1 - sin^2(u) = cos^2(u)
so the integral becomes (a )cos^2(u) du from u = 0 to pi/2
You can find the solution for this integral at http://calc101.com/special_2.html
Let x/a = sin(u)
dx = (a)cos(u)du
1 - sin^2(u) = cos^2(u)
so the integral becomes (a )cos^2(u) du from u = 0 to pi/2
You can find the solution for this integral at http://calc101.com/special_2.html