Find the area between the curve and the x-axis on the given interval. y = x² - 4; [-5, 0] A) 27 B) 5.333 C) 32.333 D) 21.667 E) 16.334

Question

Quizplus · Accepted Answer

To find the area between the curve and the x-axis on the given interval, we need to integrate the curve with respect to x over the given interval and take the absolute value of the result. ∫[-5,0] x² - 4 dx = [x^2/2² - 4x]_[-5,0] = [(0)^2/2² - 4(0)] - [(-5)^2/2² - 4(-5)] = [0 - (-49/2² + 20)] = 49/2² - 20 ≈ 32.333 Therefore, the answer is C.

Find the Area Between the Curve and the X-Axis on the Given