1. Denote I =
∫10 (1/(1+4x2)) dx
a. Find the exact value of I (for example, by finding an
antiderivative of the integrand).
b. For a generic positive integer n, we partition the interval
[0, 1] into n equal subintervals [x0, x1],
[x1, x2], . . . , [xn-1,
xn]. Denote by Ln, Rn,
Mn, Tn the Riemann sums corresponding to left-point,
right-point, midpoint and trapezoid rule. Use sigma notation to
write a formula for each Ln, Rn,
Mn, Tn.
c....