Question

Find the approximate area between the x-axis and the graph of the equation y=x squared from x=0 to 3, using the trapezoid method. Use trapezoids of height 1.

Answer 1

Area of trapezoid:
A = 1/2*h*(b1+b2)
h=1
b1 and b2 are f(x1) and f(x2)

so first trapezoid is from x=0 to1, f(0) = 0, f(1) = 1
A = 1/2(0+1) = 1/2

Next one is x=1 to 2
A = 1/2( f(1) + f(2)) = ?

and so on ...