I keep getting the signs wrong on my answers when I try to find the area enclosed by two curves. I know you integrate from the lowest x or lowest y to the highest so I think I am subtracting the wrong function.
When the function is with respect to x (like in y=x+1), I thought you were supposed to take the rightmost function and subtract the leftmost. Is this correct?
When the function is with respect to y (like in x = y+1), are you supposed to subtract the lower function from the upper function?
I'm not sure how to tell which is upper or rightmost other than by eyeing it. Is there a more rigorous way?
Find the area of the region between the functions x = 2y2 and x = 4 + y2 . I thought x=2y2 was the rightmost function. But after I integrated I got -32/3 when I should have gotten 32/3.
When the function is with respect to x (like in y=x+1), I thought you were supposed to take the rightmost function and subtract the leftmost. Is this correct?
When the function is with respect to y (like in x = y+1), are you supposed to subtract the lower function from the upper function?
I'm not sure how to tell which is upper or rightmost other than by eyeing it. Is there a more rigorous way?
Find the area of the region between the functions x = 2y2 and x = 4 + y2 . I thought x=2y2 was the rightmost function. But after I integrated I got -32/3 when I should have gotten 32/3.