Sketch the graph of the function. f(x) = x^2 − 2x Find the area of the region bounded by the graph of the function f and the lines y = 0, x = −4, and x = 1.

Answer 1

Area A = ∫_-4⁰(x² - 2x)dx + ∫₀¹(2x - x²)dx = (x³/3 - x²)_-4⁰ + (x² - x³/3)₀¹ = 64/3 + 16 + 1 - 1/3 = 114/3

Answer 2