(a) fo Explain why each of the following integrals is improper. dx X-7 1 O Since the function y=. Since the function y=- O Since the function y = x-7 1 x-7 x-7 dx has an infinite discontinuity at x 7, the integral is a Type 1 improper integral. has an infinite discontinuity at x = 1, the integral is a Type 2 improper integral. has an infinite discontinuity at x = 7, the integral is a Type 2 improper integral. has an infinite interval of integration, it is a Type 1 improper integral. dx integral x-7 has an infinite interval of integration, it is a Type 2 improper integral. O Since the integral O Since the 2-9 1 x-9 x-9 has an infinite discontinuity at x = 9, the integral is a Type 1 improper integral. has an infinite discontinuity at x = 8, the integral is a Type 1 improper integral. - has an infinite discontinuity at x = 9, the integral is a Type 2 improper integral. dx (b) -9 - 1 Since the function y = Since the function y = 1 O Since the function y = O Since the integral dx has an infinite interval of integration, it is a Type 1 improper integral. -9 O Since the integral dx x-9 has an infinite interval of integration, it is a Type 2 improper integral. 12