Aralyze each improper integral below. If the integral converges, provide its value. If if diverges, enter one of "inf" or ".inf" (If either applies) or "dive (otherwise). ∫ 1
[infinity]
​
x 2
1
​
dx=
∫ 1
[infinity]
​
x
1
​
dx=
∫ 1
[infinity]
​
e −2
dx=
∫ −[infinity]
[infinity]
​
e x
dx=1+x 2
dx=
​