7.8 Integration Techniques
Question #4 (Medium): Convergent Improper Integral
If both sides of the integral are infinity, then split the integral with respect to any number, but a nice
number would be beneficial in saving time for computation, like or . Then add limit with variable ,
since is already taken. Then solve the integral disregarding the limit, then afterward apply the value
that variable t approaches to determine convergence or divergence. If convergent, as limit value is
plugged in, it will figure itself out.
Determine if the integral is convergent or divergent. If convergent, evaluate the integral.
Since both sides approach infinity, split the integral. Since therewith no denomination, would be
good. Then: . Add the