Exercise 5 Normal. , e-x² dx = \TT -00 Use 1? = (Se-x* dx)( S,e-y² dy) = L. Le-(x²+y²) dx dy = Sp2 e-(x²+y?) d(x,y) r d(r,0), %3D -0- using chg of variable (x, y) = (r cos 0, r sin 0) = g¬'(r,8) = with d(x, y) = det( d(r,6) = r d(r,8) S s re-r* dr de = n. -2n a(r,0)

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