Calculus- Area Between 2 Curves?

What would be the area between the two curves x = y^2 - 2 and x = e^y within the interval y = -1 and y = 1?

I understand how to do problems such as these when they are functions of x, but the y's are throwing me off. Help please! Thanks!

2008-01-22T11:01:48Z

My instructor said you do NOT rearrange the variables to make the function y =; you have to integrate with respect to y as opposed to x. Besides, you would have to account for -sqrt (x-2) and +sqrt(x-2) for that to be accurate.

nadavs42008-01-22T10:48:48Z

Favorite Answer

When you integrate for x, the boundries are x = a to x = b. Now the boundries are y = -1 and y = 1, so all you have to do is integrate for y.
Just think x is y and y is x.

The first integral will be y^3 / 3 - 2y and the second one will be e^y. Now just do the boundries of a definite integral and this should work.

Hope I helped. :)
nadavs

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James H2008-01-22T18:45:20Z

how's about we re-arange x=e^y to y=lnx then when you integrate that you get one over x. [x^-1]

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