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.
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A triangle has sides A, B and C. The side BC has length 20cm, the angle ABC is 50 deg and angle BAC is 68 deg. a) Show that the length of AC is 16.5cm, correct to three significant figures. b) The midpoint of BC is M, hence find the length of AM