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

Find the area of the region bounded by the graph of f(x) = 4x^2, the tangent line to this graph at P(2, f(2)), and the x-axis

2. Relevant equations

Integral of [f(x)-g(x) dx]

3. The attempt at a solution

I first tried to find the equation for the tangent line

The derivative of 4x^2 = 8x, subsituting x=2 into the equation I got 16 [slope]

the equation then turned out to be y-2 = 16 (x-2) --> y = 16x-30

I then subtracted this tangent equation from 4x^2 then integrate, but I wasn't able to get the right answer.

Please show me how...thank you!

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# Homework Help: Area between a function and its tangent

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