When using the trapezium rule to approximate area underneath a curve between 2 limits, what is the effect of increasing the number of strips used?
Ideally to find the exact area under the curve, we would integrate the function and substitute in the bounds given. However, using the trapezium rule gives an approximation whereby using more trapezia increasing the accuracy of the estimate. Therefore, if we use more trapezia/strips, we get closer to the real value.
MM
Related Maths A Level answers
All answers ▸How do you prove a mathematical statement via contradiction?
Write tan(3x) in terms of tan(x). Hence show that the roots of t^3 - 3t^2 - 3t + 1 = 0 are tan(pi/12), tan(5pi/12) and tan(3pi/4)
The equation f(x) =x^3 + 3x is drawn on a graph between x = 0 and x = 2. The graph is then rotated around the x axis by 2π to form a solid. What is the volume of this solid?
Find the gradient, length and midpoint of the line between (0,0) and (8,8).