is it just me or is this question incomplete??

Am I being a ding dong here?

I am asked to find the area between the bound of x in the second part of the question.

I can find part a of the question, however I cannot determine c without being given more information.

Therefore, without c I can’t draw the graph needed in order to know whether i’m dealing with one area or two or three areas….

I know there must be some error because if I consider the values given, the area is negative meaning there must be two separate areas and one must be at least negative.

So, is it possible to find c with the relevant information given in the question? Am I missing something?

Whre is the question?

Sorry, it must have failed to upload. I’ve attached it now

You need to sketch y = x^3 - 3x^2 -4x

That's the curve you are dealing with - when you know what the curve looks like you can put values in and c becomes irrelevant

I know I can ignore c when integrating it to find the area but I was unaware I could draw the graph without c to find the necessary bounds too ..

Makes a life a lot more simpler I knew that lol

Thank you

c isn't in the curve - you are sketching the cubic!

Is it possible to answer the question without drawing the graph by any chance?

Is it possible to answer the question without drawing the graph by any chance?

y = x^3 - 3x^2 -4x = x(x^2 - 3x -4) = x (x - 4)(x + 1)

So you can find where it cuts the x-axis

Yes. Find the roots of the cubic; you'll need to split the range of integration at each root and then add the absolute value of the integral in each subinterval.

E.g. if your cubic f(x) has roots 2, 4 and 6 and you want the area between x=1 and x=5 you'd need to subdivide into intervals [1,2], [2,4], [4,5]. Find the area of each interval and add them together (taking the absolute value for each sub-area).