Find the volume of the prism whose base is the area in the [tex]xy[/tex] plane bounded by the curves [tex]y = x^4[/tex] and [tex]y=x[/tex] and whose top is the surface [tex]f(x,y) = x+xy[/tex](adsbygoogle = window.adsbygoogle || []).push({});

this is what I have so far

area of base = [tex]\int\ x^4dx - \int\ xdx[/tex]

= [tex]$\frac{x^5}{5} - \frac{x^2}{2} + C[/tex]

however I don't know what is meant by the top. I might guess it would represent the height of the prism and just multiply the expression by the one I have for the area, but that doesn't seem right, and this question is worth 10 marks

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# Homework Help: Volume of a Prism

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