4. Let a, b, c ? R such that a < b. Let h and g be real-valued functions
defined on [a, b]. Use ONLY the Riemann definition of the definite inte-
gral to prove:
if h and g are integrable on [-2, 0] and h(x) ? 0 on [-2, 0] then
$\int_{-2}^{0} (2g(x) - (h(x))^{-1} + c) dx = 2 \int_{-2}^{0} g(x) dx - \int_{-2}^{0} \frac{dx}{h(x)} + 2c.$
Make sure to fully justify your answer.