Using the slicing method, we can find a volume by integrating the cross-sectional area If the graphs of the functions cross, or if the region is complex, use the absolute value of the difference of the functions.

In this case, it may be necessary to evaluate two or more integrals and add the results to find the area of the region The principles are the same regardless of which variable is used as the variable of integration

principles — the same regardless of which variable is used as the variable of integration. slicing method — a method of calculating the volume of a solid that involves cutting the solid into pieces, estimating the volume of each piece, then adding these estimates to arrive at an…. region — complex, use the absolute value of the difference of the functions. cross-section — the intersection of a plane and a solid object.