AP Calc BC help! Can someone explain how to do these problems? I care more about the explanation than the actual answer! My course never taught me how to do these kinds of problems.
Thank you!!

Question 1) 72

Question 2) 40

Question 3) Both C and D.

Question 4) Both A and C.

Step-by-step explanation:

Question 1)

We are given that:

We will use integration by parts, given by:

We will let:

Therefore:

Substitute:

Evaluate:

Question 2)

Similarly, we will let:

Hence:

Evaluate:

Thus:

Question 3)

We are given:

By the Fundamental Theorem of Calculus:

The derivative of g is always positive. So, the values of g are always increasing.

The tables that reflect this are C and D.

And there are, as I understand it, no way to determine their exact values. Both C and D are correct.

Question 4)

Similarly, we are given:

By the FTC:

So, g should be decreasing for all x.

The tables that reflect this are A and C.

So, both A and C are correct.

the image of (6, 9) under a dilation is (4, 6). the scale factor is