$$\int_{-4}^{3} 3 x^2 \, dx$$

a) Find a formula to approximate the above integral using $n$ subintervals and using Right Hand Rule.
(enter a formula involving $n$ alone).

b) Evalute the formula using the indicated $n$ values.
$n = 10$:
$n = 100$:
$n = 1000$:

c) Find the limit of the formula, as $n \to \infty$, to find the exact value of the integral.