https://youtu.be/gqXUD27NTkI

In this video I go over how to solve areas between curves by switching the functions to be functions of y instead of x. In some instances this makes evaluating the integral much easier so it is important to understand this concept!

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# Integrals and Areas Between Curves: Functions of y

![Integrals and Areas Between Curves Functions of y.jpeg](https://cdn.steemitimages.com/DQmXXFwQbmhaXe6nLrrzqrdfuedLnHSF599gcjKyTUpz37k/Integrals%20and%20Areas%20Between%20Curves%20Functions%20of%20y.jpeg)

From my earlier videos I solved the area between curves bounded by writing the curves as functions of x

![image.png](https://cdn.steemitimages.com/DQma5exfcPPausQ7XQPNijSiWtNcsh5LJrN6z6wXDs5725D/image.png)

But sometimes it is best to treat the regions by regarding x as a function of y:

![image.png](https://cdn.steemitimages.com/DQmQbWnUrvjtHDwiZBcVk5dYqMstmtX3QUDEkLkTTCpHKFx/image.png)

Sometimes it is easier to write the functions as x<sub>R</sub> and x<sub>L</sub> indicating left and right.

![image.png](https://cdn.steemitimages.com/DQmTmsBHxA7mvtvAF455gBDQejA7EaAkkbUskBN2Pv8pmGQ/image.png)