Integral help wanted

[hajfajv]

Hello
How does one approach a problem like this, I have never seen anything like this. I tried to integrate f and g to see if that would lead me to a difference in equation 1 and 2, it was a mess.
Then I tried to isolate f or g to plug in to another equation, also a mess.

 

[lookagain]

Let M = the integral of f(x).
Let N = the integral of g(x).

Then the two equations can be rewritten as:

M - 2N = 6
2M + 2N = 9

Solve this system for M and N, so you can solve for the value of the original problem.

 

[hajfajv]

So I solved it and I guess I should have faith in my ideas.

 

[hajfajv]

Let M = the integral of f(x).
Let N = the integral of g(x).

Then the two equations can be rewritten as:

M - 2N = 6
2M + 2N = 9

Solve this system for M and N, so you can solve for the value of the original problem.

Yes this is what I ment by isolating f or g and plug it in

 

[Steven G]

OK, so what seems to be the problem. If you show us your work, then we can point out any errors you may have.

 

[hajfajv]

OK, so what seems to be the problem. If you show us your work, then we can point out any errors you may have.

Thanks but the above picture does show my work and I don't think there are any problems with it. I just wanted help getting started since I tried some ideas and thought they were wrong, one turned out to be correct when I revisited it. The reason I posted my work was just to show that I found the solution, either people with the same problem could learn from it and people wanting to help could see that I had finished.
Not the best thread title though, not sure what to call this type of problem.

 

[Steven G]

Your work is perfect. Good job.