Calculate each of the following integrals or say why itcannot be done with the methods

Chapter 20, Problem 25

(choose chapter or problem)

Calculate each of the following integrals or say why itcannot be done with the methods and theorems in thisbook. Let F = x3i + y3j + z3k .(a)S F dA where S is the disk of radius 3 in theplane y = 5, oriented toward the origin.(b)W F dV where W is the solid sphere of radius 2centered at the origin.(c)S curl F dA where S is the disk of radius 3 inthe plane y = 5, oriented toward the origin.(d)C grad F dr where C is the line from the originto (2, 3, 4).(e)W div F dV where W is the solid sphere of radius2 centered at the origin.(f)C F dr where C is the line from the origin to(2, 3, 4).(g)W curl F dV where W is the box 0 x 1, 0 y 2, 0 z 3.(h)W F (i + j + k )dV where W is the box 0 x 1, 0 y 2, 0 z 3.26. L

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