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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!
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.
2 Answers
- 1 decade agoFavorite 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
Source(s): http://www.great-info-products.com/Experts/mathind... - online math help and tutors. - 1 decade ago
how's about we re-arange x=e^y to y=lnx then when you integrate that you get one over x. [x^-1]
