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 ▸

Integrate (x^2 +2)(2x-6) with respect to x.


Integrate 4x^3 + 6x^2 +4x + 3


A ball is thrown in the air. The height of the ball at time t is given by: h=5+4t-2t^2. What is its maximum height? At what time does the ball reach this height?


When trying to solve inequalities (e.g. 1/(x+2)>x/(x-3)) I keep getting the wrong solutions even though my algebra is correct.