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Need help with a question. (1 Viewer)

Bongo

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Joined
Oct 16, 2018
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HSC
2019
Find the area enclosed between the curve y = x^3 , the x -axis and the line y = -3 x + 4.

The answer is 0.42

I've tried everything but I can't seem to find the answer. Any help will be greatly appreciated
 

integral95

Well-Known Member
Joined
Dec 16, 2012
Messages
779
Gender
Male
HSC
2013
Yeah that's because this not your straight forward "top minus bottom" kind of question.

First you should draw out the curves, then find the point of intersection (which is x = 1 by inspection)

The area given above is

 

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