and 
for 
Compute ![\[\prod_{k=0}^{\infty}\left(1-\frac1{a_k}\right)\]](http://latex.artofproblemsolving.com/1/9/7/197b63d6a2a31e18dae30ef70595b27318667338.png)
in closed form.
,
.
satisfies the quadratic equation 
and deduce that the value of 
.
.
,
is 
.
be the set of all 
matrices with at most two entries in each row equal to 
and all other entries equal to 
.
.
denotes the determinant of the matrix 
.
Y by
I want to learn how to integrate, I'm a ms student with knowledge about math counts ,amc 10 even tho that want help mebut I don't want to dwell in calc, I just want to learn how to integrate and nothing else like I don't want to study it deep, how can I learn how to integrate its for an integration bee hosted near me its a state uni and I want to join so in the span of 2 months how can I learn to integrate without learning calc like fully
