Describe the solutions of the system using an ordered triple in terms of x. 4x−4y−z=14 −4x+4y+3z=−10 3x−3y+7z=26

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TheMixingToad

01.06.2023

Mathematics

as we know, the integral of $x^{n}$ is $\frac{x^{n+1} }{n+1}$

so, the integral of x. $2^{x}$ will be found as follows:

here, we will use a trick called 'integration by parts'

let x = u and $2^{x}$ = v

∫uv dx = u∫v dx - ∫[(du/dx)* ∫v dx] dx

∫x. $2^{x}$ dx = x∫ $2^{x}$ - ∫[(dx/dx) * ∫ $2^{x}$ dx ] dx

∫x. $2^{x}$ dx = x* $\frac{2^{x+ 1}}{x+ 1}$ - 1 * $\frac{2^{x + 1} }{x + 1}$

= $\frac{2^{x} }{x + 1}$ ( x - 1 )

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