Question #31154

Find the area bounded by $\gamma = 5 + 4x - x^2$, the x-axis and the ordinates $x = 1$ and $x = 4$.

a. 24 unit^2

b. 19 unit^2

c. 2 unit^2

d. 32 unit^2

Solution. The area bounded by the function $y = 5 + 4x - x^2$, x-axis and $x = 1$ and $x = 4$ is equal to integral

Answer. The area is $S = 24 \text{ unit}^2$.