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 ▸C4 June 2014 Q4: Water is flowing into a vase. When the depth of water is h cm, the volume of water V cm^3 is given by V=4πh(h+4). Water flows into the vase at a constant rate of 80π cm^3/s. Find the rate of change of the depth of water in cm/s, when h=6.
How do I differentiate a quadratic to the power n?
Differentiate with respect to x: w=4x^2 + 3sin(2x)
Differentiate y = 4ln(x)x^2