downward parabola

Situation
Given the parabola 3x² + 40y – 4800 = 0.
 

Part 1: What is the area bounded by the parabola and the X-axis?
A. 6 200 unit²
B. 8 300 unit²
C. 5 600 unit²
D. 6 400 unit²
 

Part 2: What is the moment of inertia, about the X-axis, of the area bounded by the parabola and the X-axis?
A. 15 045 000 unit⁴
B. 18 362 000 unit⁴
C. 11 100 000 unit⁴
D. 21 065 000 unit⁴
 

Part 3: What is the radius of gyration, about the X-axis, of the area bounded by the parabola and the X-axis?
A. 57.4 units
B. 63.5 units
C. 47.5 units
D. 75.6 units
 

Example 5
Find the area between the curves 2x² + 4x + y = 0 and y = 2x.
 

Example 4
Solve the area bounded by the curve y = 4x - x² and the lines x = -2 and y = 4.
 

Example 1
Find the area bounded by the curve y = 9 - x² and the x-axis.