Find the area of the region bounded by y=4-x^2 & y=2x+1 =?
1 Answer
Explanation:
The area we seek lies between the two curves. First we need to find the points of intersection between these:
Interval
Testing a value in this interval with our two functions, say
So,
We can therefore find the area under
Our lower and upper bounds are
Integrals:
Since the integral is distributive over the sum:
Simplifying:
A
A
Plugging in upper and lower bounds:
GRAPH: