Sure.
Find
Now, in order to find this, you must first solve the intergrand. So one way to solve this question is to use the technique of substitution.
So I'm going to let
. I have introduced a new variable
in place of
. In the orginal function, the limit was
x from 2 to 4 but now my intergral is in terms of
, which MAY OR MAY NOT go from 2 to 4. Thus to find out what it does go to, you plug in
into the equation
to find out what
goes to when
goes to 2. And you do the same for the other limit, 4. In the end, you should find the new limits of
u to be from 17 to 37.
Thus,
You then easily find the answer to be
since
. You can also after solving the integral, re-substitute then solve again in terms of x from 2 to 4. Same answer!
Hope this helps!