Question

Us the method of quadrature to estimate the area under the curve y= 1/4x² + 5 and above the x-axis from x = 0 to x = 4.
A) 14.5
B) 18
C) 5
D) 4.8

Answer 1

So.. a Riemann sum?

Answer 2

The actual area is over 25, so I would guess A or B for this one.

Answer 3

From that picture, just count the number of squares in the region.

Answer 4

It's 25.

Answer 5

squares

Answer 6

It's A.

Answer 7

Ah, you didn't include the (-) sign in the equation. I thought that looked odd given the picture. Yes, the actual area is 14.666...

Answer 8

Approximately 14,6

Answer 9

Sorry @CliffSedge , I didn't saw your final answer

Answer 10

Eh, I cheated by using calculus anyway.. ;-)