Two more Improper Integral problems?!?!?

Question

Sketch the region and find its area (if the area is finite)

S = { (x,y) / x > or equal to -2, 0 < or equal to y < or equal to e^(-x/2) }

Use the Comparison Theorem to determine whether the integral is divergent or convergent.

integral from 1 to infinity of (x/ sqrt (1 + x^6) dx

Answer 1

I don´t understand the first question
2) the integrand is of the same class as 1/x^2 as the limit of its quotient is 1 so it is convergent

Answer 2

vital of e^(-x/a) is -a*e^(-x/a), evaluated from 0 to infinity supplies an answer of a. by using symmetry over the y-axis, it is the comparable as two times the int from 0 to infinity of a million/x^2. The antiderivative is -a million/x, evaluated supplies a divergent vital. (a million/x evaluated at 0 is undefined.)