MATH101 April 2012
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q1 (h) • Q1 (i) • Q1 (j) • Q2 (a) • Q2 (b) • Q3 (a) • Q3 (b) • Q3 (c) • Q3 (d) • Q4 (a) • Q4 (c) • Q5 • Q6 • Q7 (a) • Q7 (b) • Q7 (c) • Q8 (a) • Q8 (b) •
Question 07 (a)
Let . Write down the trapezoidal approximation T4 for I.
You do not need to simplify your answer.
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The general formula for the trapezoidal approximation is given by:
What are and ?
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The formula for the trapezoidal approximation of the integral is as follows:
The 4 of means that our interval of integration has been divided into four pieces, each of length (b-a)/4=1/4. So . We also know that and are the endpoints of the interval of integration. So we have
We simply plug this all into the formula given above to get:
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MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Trapezoidal rule, Pages using DynamicPageList parser function, Pages using DynamicPageList parser tag