Hi
Area of R1 =
For R2, you need to split the integral into 2 parts : from 0 to 2 and from 2 to 7
The diagram shows a sketch of part of the curve with equation y=x2+1 and the line with equation y=7−x. The finite region R1 is bounded by the line and the curve. The finite region R2 is below the curve and the line and is bounded by the positive x- and y-axes as shown in the diagram.
(a) Find the area of R1.
(b) Find the area of R2.
Area of R1 =
I can work this out, but How would I go about working the area of region 2? Becasue there's also the area of region 1 inside region 2.
You have the functions:
and
Split into two parts: One area is completely below the graph of the quadratic function, the second one is completely below the straight line. According to running-gag's post the area is:
I'll leave the rest for you. I've got