Is the trapezium rule an exact method of integration?

The trapezium rule is not an exact method of integration, as it approximates the gradient between 2 ordinates to be constant. This method produces an overestimation for convex functions and underestimate for concave functions (will draw out why). The associated error with respect to the true value of an integral can be reduced by a decrease in the strip width between ordinates.

Answered by Maths tutor

3044 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given x=Sqrt(3)sin(2t) and y=4cos^2(t), where 0<t<pi. Show that dy/dx = kSqrt(3)tan(2t).


The curve C has equation y = f(x) where f(x) = (4x + 1) / (x - 2) and x>2. Given that P is a point on C such that f'(x) = -1.


How to gain an inverse function


Calculate dy/dx for y=x(x−1)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning