Question

The area of the region bounded by the curve $y=9-x^2$, $x$-axis and the lines $x=0$ and $x=3$ is ______

• A. $9$
• B. $27$
• C. $18$
• D. $36$

Answer 1

The correct option is C $18$

from the image the area of the region bounded by the curve is right side of the y-axis and in first quadrant

area=${\int }_0^{3}9-x^2=(9x-\frac{x^3}{3})$

substituting the limits we get $9\left(3\right)-9=18$