Work through the following steps to evaluate `int_0^9 (x^2+1)dx`.

a) We know that `a` = and `b` = .

b) Using `n` subintervals, `Delta x` =  

c) Assume that the sample points in each interval are right endpoints. Find the following sample points:

`x_1 =`  

`x_2 =`  

`x_3 =`  

In general, the `i`th sample point is `x_i =`   Note: your answer will be an expression in terms of `i` and `n`.

d) Now find the sum of the areas of `n` approximating rectangles.Note: your answer will be an expression in terms of `n`.

`sum_(i=1)^n f(x_i) Delta x =`  

e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity.

`int_0^9 (x^2+1)dx` = `lim_(n rarr oo) sum_(i=1)^n f(x_i) Delta x =`