Where are you stuck in the process? You started with the algebra, drawing a graph of the two curves, shading the three areas in question, and finding the intersection points. You noted that each of the functions was even, so you could use symmetry to cut your integral in half (and then multiply the resulting area by 2). And... then what?Help me to find the area between curves of y = lx2 -4l and y =2.
I'm having trouble with that =/
Where are you stuck in the process? You started with the algebra, drawing a graph of the two curves, shading the three areas in question, and finding the intersection points. You noted that each of the functions was even, so you could use symmetry to cut your integral in half (and then multiply the resulting area by 2). And... then what?
Please reply with a clear listing of all of your thoughts and efforts so far, starting from the algebra mentioned above. Thank you!![]()
In future, kindly please provide that information at the start.Yes, i did all that.
No. Take another look at that graph. Is the top line really y = x^2 - 4? Or something else?So, when doing the integral, i thought about doing it like
integral of (x^2-4 -2) going from 0 to sqrt of 2....
No, for the same reason.+ integral of 2 -(x^2-4) going from sqrt of 2 to 2
This portion is correct.+ integral of 2-(x^2-4) going from 2 to sqrt of 6.
The above quoted is the original problem and here is the graph. The question is about the area is bounded by two graphs: \(\displaystyle y=2~\&~y=|x^2-4|\).Help me to find the area between curves of y = lx2 -4l and y =2.
I'm having trouble with that =/