I'm getting really frustrated after having spent 5 hours on this question. I get a feeling the entire answer sheet itself is off.
Find the area of the region trapped between the 2 given curves and the indicated lines.
f(x) = 3x
g(x) = x^2
x = -1, x = -2
int[3x-x^2] = 3x^2/2 - x^3/3 ----> call this function z(x)
Take z(-2) - z(-1) = results
What I also did was to integrate each function separately and sub in the the range of x and find the difference.
Apparently, the results I obtain does not tally with the answer sheet that says 31/6
I really don't wish to go through the hassle of typing the entire working. Pretty much in a foul mood now and I need a break. I would appreciate if someone could help.
My answer works out to be 3/2.