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

2948 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the differential equation : dy/dx - x^3 -5x = 0


y = 1/x^2, differentiate y (taken from AQA 2018 past paper)


Find dy/dx where y= x^3(sin(x))


Using substitution, integrate x(2 + x))^1/2 where u^2 = 2 + x


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences