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Find the limits of integration for calculating the volume of the solid, Q, enclosed by the graphs of y = x2 , z = 0, and y + z = 2.

I'm not confident in my results could someone show me how this is done?

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Curve y = x² and line y = 4 intersect at (-2, 4) and (2, 4)
So we integrate from x = -2 to x = 2

On this interval, line is above the curve

Each cross section perpendicular to x-axis is shaped like a washer, with
outer radius: R = 4
inner radius: r = x²

We user washer method:

V = p ??2² (R² - r²) dx
V = p ??2² (16 - x4) dx
V = p (16x - x5/5) |?2²
V = p ((32 - 32/5) - (-32 + 32/5))
V = p (64 - 64/5)
V = 256p/5

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I have never found this to be true. I rub a balloon backwards and forwards on what is left of my hair and the balloon charges.

I rub and ebony rod backwards and forwards with fur and it charges.

So I can't agree with the substance of the question.

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