Edexcel IAL WMA12/01/P2/Jan 2022/Q1 (The Trapezium Rule)
The table below shows corresponding values of x and y for
The values of y are given to 3 decimal places.
x | 5 | 5.5 | 6 | 6.5 | 7 |
y | 6.792 | 6.298 | 5.858 | 5.466 | 5.113 |
Using the trapezium rule with all the values of y in the given table,
obtain an estimate for
giving your answer to 2 decimal places.
(3)
Using your answer to part (a) and making your method clear, estimate
(4)
SOLUTION
a- Using Trapezium Rule to estimate
(The number of trapezium strips are 4 as we know that the number of strip is always 1 less than the total number of values of x and y given.)
Answer must be 2 dp.
b- i-
Applying the power rule of logarithms to bring power down as the coefficient.
Applying division rule.
Now, applying multiplication rule
Where
b-ii-
On splitting the integrals, we get
Where
