In this worksheet we will see how to compute multiple integrals using Maple and the vec_calc package. The student package has the commands Doubleint and Tripleint for computing double and triple integrals. The vec_calc package has the command Multipleint, which can compute multiple integrals of any dimension. In addition the multipleint command can display all the intermediate steps. As examples, we will consider problems which * Compute a 5-Dimensional Integral and Display the Steps * Interchange the Order of Integration * Compute an Integral in Curvilinear Coordinates * Compute the Volume of a 4-Dimensional Sphere