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.

Related Maths A Level answers

All answers ▸

What is the gradient of the curve y = 2x^3 at the point (2,2)?


How to find the angle between two 3-dimensional vectors:


How do you find the turning points of a curve described by the equation y(x)?


The graph above shows the line y = 3*x^2. Find the area beneath the graph from y = 0 to y = 5.