(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the area bounded by the graph f(x)=2x^2, point P(1, f(1)), and the x axis.

2. Relevant equations

3. The attempt at a solution

Point P is a point on a line that is tangent to y=2x^2. So I used this to figure that the line is 4x-2. So now there are two functions, y=2x^2 and y=4x-2, with the two functions intersecting at (1,2). I did the integral from 0 to 1 of top minus bottom, which is 2x^2-4x+2. Taking the antiderivatives, I get 2x^3/3 -2x^2 +2x. From 0 to 1, I get an answer of 2/3. But that isn't correct apparently. The answer choices are 1/8, 1/6, 1/2, 1/3 and 1/4. Where am I wrong?

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# Find the area using integration.

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