Question

(a) integrate the function over the interval
(b) find the area of the region between the graph and the x-axis.
y=-x^2+5x-4, [1,4]

Answer 1

(S) -x^2 +5x -4 dx
(-1/3)x^3 +(5/2)x^2 -4x | 1,4

[(-1/3)4^3 +(5/2)4^2 -4(4)] -[(-1/3) +(5/2) -4]

Answer 2

-24 + (11/6)

Answer 3

is it -133/6 ?

Answer 4

Yes, that is the answer I got.
Thank you so much for all of your help.

Answer 5

So basically -133/6 is the area of the region. Right?