Problem $29.$ Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for convergence.

$($a$){\displaystyle \underset{0}{\overset{ln2}{}}}{x}^{-2}{e}^{-\frac{1}{x}}dx$

$($c$){\displaystyle \underset{1}{\overset{}{}}}\frac{dx}{x^3+1}$

$($b$){\displaystyle \underset{0}{\overset{\frac{}{2}}{}}}tanxdx$

$($d$){\displaystyle \underset{2}{\overset{}{}}}\frac{xdx}{\sqrt[\phantom{2}]{x^4-1}}$