Explain why each of the following integrals is improper. (a) dx O Since the function y = - _ has an infinite discontinuity at x = 5, the integral is a Type 1 improper integral. O Since the function y = - 1 x - 5 - has an infinite discontinuity at x = 1, the integral is a Type 2 improper integral. O Since the function y = - X - 5 has an infinite discontinuity at x = 5, the integral is a Type 2 improper integral. O Since the integral dx has an infinite interval of integration, it is a Type 1 improper integral. O Since the integral Of has an infinite interval of integration, it is a Type 2 improper integral. ( b ) O Since the function y = - x2 - 9 has an infinite discontinuity at x = 9, the integral is a Type 1 improper integral. O Since the function y = 1 X 2 - 9 - has an infinite discontinuity at x = 8, the integral is a Type 1 improper integral. O Since the function y = 1 x2 - 9 - has an infinite discontinuity at x = 9, the integral is a Type 2 improper integral. O Since the integral dx x 2 - 9 - has an infinite interval of integration, it is a Type 1 improper integral. O Since the integral 2 -9 OX has an infinite interval of integration, it is a Type 2 improper integral. (c) tan(x) dx O Since the function y = tan(xx) has an infinite discontinuity at x = 0, the integral is a Type 2 improper integral. Since the function y = tan(x) has an infinite discontinuity at x = , the integral is a Type 2 improper integral. O Since the function y = tan(x) has an infinite discontinuity at x = 1, the integral is a Type 2 improper integral. Since the integral "tan(xx) dx has an infinite interval of integration, it is a Type 1 improper integral. O Since the integral "tan(xx) dx has an infinite interval of integration, it is a Type 2 improper integral. (d ) O Since the function y = = has an infinite discontinuity at x = 0, the integral is a Type 1 improper integral. Since the function y = = has an infinite discontinuity at x - -1, the integral is a Type 1 improper integral. X O Since the function y = _ has an infinite discontinuity at x - 0, the integral is a Type 2 improper integral. Since the integral dx has an infinite interval of integration, it is a Type 1 improper integral. O Since the integral dx has an infinite interval of integration, it is a Type 2 improper integral