Using the Trapezoidal Rule and Simpson’s Rule In Exercises 41–46, approximate the value of the definite integral using (a) the Trapezoidal Rule and (b) Simpson’s Rule for the indicated value of n. Round your answers to three decimal places.
(a)
To calculate: The value of the integral
Given Information:
The definite integral is
Formula used:
Trapezoidal Rule:
If a function f is continuous on
Calculation:
Calculation by Trapezoidal Rule:
Consider the definite integral
When
And the end points of subintervals are
By Trapezoidal Rule
(b)
To calculate: The value of the integral
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