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

If three equal subdivisions of [-4, 2] are used,

Ответ:

ana2896

04.01.2022

Trapezoidal rule:
$\int\limits^b_a {f(x)} \, dx=(b-a)* \frac{f(a)+f(b)}{2}$
... = $(2+4)* \frac{e ^{4} +e ^{-2} }{4}$
= $6* \frac{e ^{4} + \frac{1}{e ^{2} } }{4}$
= $\frac{3(e ^{6}+1) }{2e^{2} }$

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Ответ:

mimi14564

03.10.2022

Mathematics

An equation that satisfies the given perimeters is y = -3x + 1

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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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