Question

Please help me with Calculus homework, Question 2 only***Answer to question 1: -3.938

Answer 1

As given by the question

There are given that the function:

$f(x)=x^3-6x$

Now,

According to the answer to question #1 and the graph of the function:

It is the area under the curve from x = 0 and x = 3;

So,

Some of it is below the x-axis means negative area and some of it is above the x-axis which means positive area.

Then,

Yes, they will cancel out and the integral gives the exact net result.

Explained!