Answer:
a
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
b
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
c
Since the integral has an infinite interval of integration, it is a Type 1 improper integral
d
Since the integral has an infinite discontinuity, it is a Type 2 improper integral
Step-by-step explanation:
Considering a
Looking at this we that at x = 3 this integral will be infinitely discontinuous
Considering b
Looking at this integral we see that the interval is between which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering c
Looking at this integral we see that the interval is between which means that the integral has an infinite interval of integration , hence it is a Type 1 improper integral
Considering d
Looking at the integral we see that at x = 0 cot (0) will be infinity hence the integral has an infinite discontinuity , so it is a Type 2 improper integral
7x-32=3
7x=3+32
7x=35
x=35/7
x=5
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