Anabdulajessi2ep
Anabdulajessi2ep Anabdulajessi2ep
  • 29-09-2016
  • Mathematics
contestada

If three equal subdivisions of [-4, 2] are used, find the trapezoidal approximation of integral of (e^(-x))/2 dx from -4 to 2.

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HomertheGenius
HomertheGenius HomertheGenius
  • 01-10-2016
Trapezoidal rule:
[tex] \int\limits^b_a {f(x)} \, dx=(b-a)* \frac{f(a)+f(b)}{2} [/tex]
... = [tex](2+4)* \frac{e ^{4} +e ^{-2} }{4} [/tex]
= [tex]6* \frac{e ^{4} + \frac{1}{e ^{2} } }{4} [/tex]
= [tex] \frac{3(e ^{6}+1) }{2e^{2} } [/tex]
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