Hello,
Order of integration has never been my forte. I combines the two things I hate the most...shapes...and inequalities .
Ok so I don't understand what I am doing wrong here.
Change the order of integration
So
and
and I can see that from the picture that the outer bound should be
But could someone give me a quick run through on how to manipulate the inequalities?
I know the first part is wrong and the second right, but if you wouldn't mind doing both.
Maybe I am being stupid, maybe it's late or I don't know, sorry to bother you but I have no idea what you did
Or do you have to switch the direction of the inequalities
and for the second one
I see how you got it (assuming I got the first) part
but I don't how your first inequality goes to your second
Between and , the cosine function is decreasing
This is why we reverse the inequality order ! And saying that is just a nonsense
Just not taking care of cos(x).and for the second one
I see how you got it (assuming I got the first) part
but I don't how your first inequality goes to your second
You'd be amazed at how much easier it is for novices to draw the region defined by the integral terminals when you add the red stuff and hence explicitly state the equations of the curves that bound the region ....... Even the act of doing this forces them to think of the equations of the curves that bound the region.
An expert obviously doesn't need to do this ......