If y = √ 4 - x^2 then the area of the region limited by this curve y and the x axis is
a) ¶
b) 2¶
Calculate the correct result.
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: . **
. .
. .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
**
A change of limits . . .
Since
. . . .