You have,Originally Posted by bret80
A semi-circle with radius 2.
Instead of finding the complicated,
Simplfy, use the formula from geometry.
The area of the circle is,
Since this is half the answer is,
Hello, bret80!
If , then the area of the region limited by and the x-axis is
Calculate the correct result.
If you are expected to do this with Calculus,
. . you need to know Trig Substitution (and a bit of Trig).
I'll baby-step through it for you . . .
Let
. . and
Substitute: .
Double-angle identity: .
We have: .
Then: . **
. .
. .
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**
A change of limits . . .
Since
. . . .