Find the total area of the region between the curve and the x-axis.
-y = 2x + 7; 1 $\le$ x $\le$ 5
A) 26
B) 18
C) 52
D) 9

Question

Quizplus · Accepted Answer

The area under the curve can be found by integrating the function from the lower to the upper limit. The integral of $y = 2x + 7$ from $x = 1$ to $x = 5$ gives the area. The integral is $\int_{1}^{5} (2x + 7) dx = [x^2 + 7x]_{1}^{5} = (25 + 35) - (1 + 7) = 60 - 8 = 52$.

Find the Total Area of the Region Between the Curve ≤\le≤

Find the Total Area of the Region Between the Curve $\le$