Ok, my book has the example int from -1 to 2 of dx/x^3 this gets split into int from -1 to 0 of dx/x^3 and int from 0 to 2 of dx/x^3. Now, he had previously determined that the second integral returned positive infinity (diverges) by taking the lim as b approaches 0+. So, the book goes on to say that since the second integral diverges the original integral also diverges. --> but what does that mean? is "divergers" the answer to "evaluate the int from -1 to 2 of dx/x^3" ? Or does it mean the the answer is just infinity? Can anyone explain?