Author: (c) Project Maths Development Team 2011

Click to see this area estimated using the Trapezoidal Rule

Click to see the area enclosed by the curve and the x-axis

Note: Area is calculated correct to 2 decimal places.

k = 2 (slider from 1 to 5, step 1)
f(x) = x^(2) - k
A, B = Intersect(f, xAxis)
a = Integral(f, x(B), x(A))
n = 36 (slider from 2 to 100, step 1)
c_1 = TrapezoidalSum(f, x(B), x(A), n)
d = false
r: x(A)
s: x(B)
e = false
text5: "f(x) =  " + (LaTeX[f]) + ""
text6: "Area =\int_{" + (LaTeX[r]) + "}^{" + (LaTeX[s]) + "}{(" + (LaTeX[f]) + ")}\;dx= " + (LaTeX[a]) + "units^2"
text4: "Area=" + (LaTeX[c_1]) + " units^2"