The diagram below shows a sketch of part of the curve with equation y = 2x³ − 15x² + ax
where a is a constant. The curve has maximum and minimum turning points when x = 2
and x = 3 respectively.
a. Show that a = 36
b. Work out the area between the curve, the y-axis and the line y = 28
I keep getting a negative result when evaluating the definite integral. (-27/32). What am I doing wrong? I found the limits to be 7/2 and 2.