Question

For each of the tollowing integrals, give a power or simple exponential function that if integrated on a similar infinite domain will have the same convergence or divergence behavior as the given integral, and use that to predict whether the integral converges or diverges. Note that for this problem we are not formally applying the comparison test; we are simply looking at the behavior of the integrals to build intuition. (To indicate convergence or divergence, enter one of the words converges or diverges in the appropriate answer blanks.) so we a similar predict 1_dx: 1 e3+5 | integrand 1S integral so we predict the integral so we predict a similar integrand 1S a similar 1 e4+5 d*: integrand 1s integral so we predict a similar integrand is oo 2+5 1 a4+72+7 integral

Answer 1

nL 2 二FINITE Value -3t 1 0K 37( al " CONVERGENT'