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 ▸x^2 + y^2 + 10x + 2y - 4xy = 10. Find dy/dx in terms of x and y, fully simplifying your answer.
What is a radian?
Solve the simultaneous equations y = x + 3, y^2 - x^2 + 3 = -6x
The rate of decay of the mass is modelled by the differential equation dx/dt = -(5/2)x. Given that x = 60 when t = 0, solve the quation for x in terms of t.