A solid is generated by rotating an area bounded by y = e^x, y = x, x = 0, and x = 5 about the x-axis. Which integral expression represents the volume of this solid?

can someone check my answer? I think it is pi integral of e^(2x)-x^2 between 0 and 5.

Question

A solid is generated by rotating an area bounded by y = e^x, y = x, x = 0, and x = 5 about the x-axis. Which integral expression represents the volume of this solid?

can someone check my answer? I think it is pi integral of e^(2x)-x^2 between 0 and 5.

accessdenied · Answer

That looks good to me.  y = e^(x) > y = x,   boundaries at x=0 and x=5.  Used the washer method between the upper curve and lower curve about the x-axis.