Length, Area, and Volume

To find the area between f\left(x\right)=x^3+x^2 and g\left(x\right)=x^2+x set up the integral:

To find the length of the curve f\left(x\right)=x^3+x^2 on [0, 2], set up the integral:

Consider the region bounded by h(x)=x and p(x)=√x. If the region is the base of a solid with semi-circular cross-sections, cut perpendicular to the x-axis, the volume can be found by:

Consider the region bounded by y=sin x and y=cos x on [π/4, 5π/4]. If the region is revolved about the line y=2 the volume of the solid is found by:

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