Chapter 6, Problem 19RE

I hope my tutor can give me an accurate answer

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53) Rewrite the integral (-151)(x²51)(051-y) f(x,y,z) dzdydx

How do you integrate z/(z+2) in terms of z?

z is a complex variable z=x+iyShow that f(z)=((z^2)+1)/((z^2)-3z+2) is continuous for all z outside |z|=2

Use the Fundamental Theorem of Calculus to give alternative proofs of the integration facts shown in Exercises 72–76. You may assume that all functions here are integrable. 72. cdx = c(b – a) 73. x dx = 1 x² dx (b³ – a®) kf (x) dx = k | f(x) dx 74. 75. | (f(«) +g(x)) dx = | f(x) dx + g(x) dx 76.

28. Consider the integral in Example 1: x²e»+ Show that the integrand can be expressed as a product g(x)h(y)k(z). Then verify the equation in Exercise 27 by computing the product of integrals on the right-hand side and showing it equals the result obtained in the example.