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Jul 25, 2017 · Explanation: note that. (x +a)3 = x3 + (a + a + a)x2 + (a.a + a.a + a.a)x +a3. (x −1)3 → a = −1. ⇒ (x − 1)3 = x3 +( −1 − 1 − 1)x2 + (1 +1 + 1)x +( −1)3.
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Simpson's 1/3 rule, also simply called Simpson's rule, is a method for numerical integration proposed by Thomas Simpson. It is based upon a quadratic interpolation and is the composite Simpson's 1/3 rule evaluated for n = 2 {\displaystyle n=2} .
Simpson's 1/3 rule gives a more accurate approximation. Here are the steps that explain how to apply Simpson's rule for approximating the integral b ∫ₐ f (x) dx. Step 1: Identify the values of 'a' and 'b' from the interval [a, b], and identify the value of 'n' which is the number of subintervals.
$$\frac{(s+1)^3}{s^4} = \frac 1s + \frac 3{s^2} + \frac 3{s^3} + \frac 1{s^4}$$ and the inverse Laplace transform of each of those terms should be standard to you. After you've found it, it may be possible to simplify the answer!
