Use geometry to calculate this area. Hint: Draw in a radius to create two easier regions whose difference is the shaded region.
You should recognize g as the equation of a semicircle, centered at the origin, with radius 6.
View the eTool. The height of the triangle is 5 and the hypotenuse is 6. Use these lengths to calculate the measure of the central angle.
Calculate the area under the curve for 0 ≤ x ≤ 3.
Calculate the area under the curve for –3 ≤ x ≤ 6.
Use the eTool below for parts (a) - (c).
Click the link at right for the full version of the eTool: Calc 1-54 HW eTool