Find the area of the region(adsbygoogle = window.adsbygoogle || []).push({});

y = x

x + 2y = 0

2x + y = 3

http://img149.imageshack.us/img149/4274/math37yo.th.jpg [Broken]

So, I decided to integrate with respect to y.

And got the integral from -1 to 0 of [(3-y)/2 - (-2y)]dy + the integral from 0 to 1 of [(3-y)/2 - y]dy.

Integrating that, I got

[3y/2 + 3y^2/4]^{0}_{-1}+ [3y/2 - 3y^2/4]^{1}_{0}= 0

However, the answer is 3/2.

The book integrated with respect to x, but I wanted to do it in terms of y.

Is it possible integrating it with respect to y?

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# Integral and area

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