7.8 Integration Techniques
Question #3 (Medium): Divergent Improper Integral
Check if only one end is infinity or two. If one end is infinity, also check if the other interval end affects
the denominator function if there is one.
Then convert the integral by adding limit as . Variable is used for no other reason than that
variable is already taken for the function in the integral.
Proceed to take the anti-derivative disregarding the limit at first. After the integral is evaluated, plug in
the value that variable approaches. Then it should be clear whether the function is convergent or
Determine if the integral is convergent or divergent. If convergent, evaluate the integral.
Since the upper end approaches infinity, conve