Use both trapezoid and Simpson's rule to find <msubsup> &#x222B;<!-- ∫ --> 0 <mi

Wisniewool 2022-07-05 Answered
Use both trapezoid and Simpson's rule to find 0 e x d x starting with h = 2 where h is the length of subintervals [ x i , x i + 1 ].
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Answers (1)

sniokd
Answered 2022-07-06 Author has 22 answers
A well-known trick is to make the change of variables
x = t 1 t
So that the integral becomes
0 + e x d x = 0 1 e t / ( 1 t ) ( 1 t ) 2 d t
the trick here is that this argument goes to zero when t 1, so you can manually set the last point in your quadrature to 0
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