Use the indicated change of variables to evaluate the double integral. 1| 4(x? + y²) dA X = (u + v) y = y |(0, 1) (-1,0) (1, 0) (0, – 1)

Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.

2 2х-4 Q2. Evaluate the double integral (2у - 1) dydx x + 1 0,

Step 1 When evaluating Integrals of the form tutx))"u'x) de- du, (n -1), we use an extension of the Powers of x Formula. This formula is called the Power Rule for Integration. + C, (n -1) n+1 Therefore, any Integrand that we can rewrite as the product of a power of a function of x times the derivative of that function can be integrated using this formula. Notice that the Integrand, (8x + 16)*(24x), includes a power of u(x) - Bx+ 16. Let u- + 16, then du = 8 + 16 dx. Thus, we can use the Power Rule for Integration with the power n -4 Submit Skin (you cannot.come.back)