Question

Please see attachment for the problem on integrals.

Answer 1

For the first one, try breaking up into two integrals:

\[\int\limits_{0}^{3} f(x) dx = \int\limits_{0}^{1} f(x) dx + \int\limits_{1}^{3} f(x) dx\]

\[= \int\limits_{0}^{1} (2x + 1) dx + \int\limits_{1}^{3}(1 - x) dx\]

Answer 2

2+ -2 = 0

Answer 3

Yea. Do the same thing for the second one, except instead of two integrals, break it up into three

Answer 4

I got 5/2 for the second question

Answer 5

lol if it's one of the answers, it's probably right! I trust your work :)