The sum: integral from-2 to 2 of f(x)+integral from 2 to 5 of f(x)-integral from-2 to-1 of f(x)

Question

Can be written as a single integral in the form:

integral from a to b of f(x)

Determine a and b.

a=

b=

Answer 1

I'll express the integral from -2 to 2 as (-2,2).

The section of (-2,2) plus the section of (2,5) makes one section of: (-2,5)

Now we take away the section of (-2,-1) and we are are left with (-1,5). If you're confused look at each section as a section of the number line.