Question

If F(x)dx=1 from 1 to 25, F(x)dx=4 from 1 to 4, and F(x)dx=9 from 17 to 25, then:

1) What does F(x)dx from 9 to 17=?
2) What does (1F(x)-4)dx from 9 to 17x=?

I have no idea how to do this problem and have been on it for hours! The problem is not typed incorrectly, this is worded correctly and requires 2 solutions. And if anyone could please show work, I would appreciate it. Thanks in advance.

Answer 1

I assume you mean the integrals or areas are 4 , 9 and 1

Sketch it
all I can say is that the integral from 4 to 17 (not 9 to 17) is -12
because
4 + integral 4 to 17 + 9 = 1

I do not even know what 2) means.
If it is
integral F(x) dx - 4 intregral dx
then
answer above - (4(17) -4(9))

however I think you have a typo and your domain for the first integral must be from 1 to 9