Your explanations must be typed ( I do not understand some handwriting; I have only one submission).You can include an example.

Explain how the spherical integral formula is derived from the cartesian integral formula. Specifically, how do we get from THEOREM 16.5 Triple Integrals Let f be continuous over the region D = { (x, y, z) : as xs b, g(x) sys h(x), G(x, y) S z S H(x, y) }. where g, h, G, and H are continuous functions. Then f is integrable over D and the triple integral is evaluated as the iterated integral [[ f( x. y, 2 ) dv = Je je, Jay f(x. y,z) dz dy dx. to the following formula THEOREM 16.7 Change of Variables for Triple Integrals in Spherical Coordinates Let f be continuous over the region D, expressed in spherical coordinates as D = {(p, 4, 0):0 - 8(4, 0) = p s h(4, 0) , as q s b, a s es B). Then f is integrable over D, and the triple integral of f over D is ( f( x. y. z) av = la la lee, f(p sin a cos 0, p sin a sin , p cos ) p sin + do do do