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September 17, 2014

September 17, 2014

Posted by **Alex** on Thursday, April 12, 2012 at 10:32pm.

Between y = −x and y = x/2 for x in [0, 6]

- Calculus -
**Reiny**, Thursday, April 12, 2012 at 11:31pmDid you follow suggestion and sketch the lines?

I see a triangle with vertices

(0,0), (6,3) and (6,-6)

You certainly would not need Calculus for this

base = 9, height = 6

area = (1/2)(9)(6) = 27

If you have to use Calculus ....

effective height = x/2 - (-x) = (3/2)x

area = ∫(3/2) x dx from 0 to 6

= (3/4)x^2 | from 0 to 6

= (3/4)(36) - 0 = 27

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