SOLUTION: Please help me solve this equation:Use the Comparison Theorem to determine whether the following integrals are convergent or divergent. a. {{{ int ( root(3,x)/(sqrt(x)-pi), dx

Question 363011: Please help me solve this equation:Use the Comparison Theorem to determine whether the following integrals are
convergent or divergent.
a.
b.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a. Let . Then , and . Then. Now
. It is enough to check the integral for for divergence/convergence (Why?). We have then
But the last integral has infinite value, and thus, the given integral itself has infinite value. The integral is divergent.
b.. Therefore the given integral is convergent.
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