trsum (Function)
Command last updated 21/7/2022.
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trsum(f, v, a, b, w)
- f is an expression in terms of v
- v is a variable name
- a is the v-value of the starting point
- b is the v-value of the ending point
- w is the trapezium width
Returns the approximation to \(\int_a^b f dv\) using trapeziums of width w and vertical parallel side lengths equal to the value of f at the trapezium’s left and right endpoints.
Example
Find the approximation of
\[\int_0^{4} \left( \dfrac{1}{27} (x-3)^2 (x+3)^2 + 1 \right) dx\]using the trapezium rule with trapeziums of width \(1\). (Sample Methods Exam 2 Section A Question 3)
