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Find the value of the integral ∫[x^3 + 3x^2 + 3x + 3 + (x + 1)cos(x + 1)] dx for x ∈ [-2,0].

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Find the value of the integral ∫[x3 + 3x2 + 3x + 3 + (x + 1)cos(x + 1)] dx for x ∈ [-2,0].

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1 Answer

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The given integral can be written as

Let (x + 1) = t

= 2[1– (– 1)] = 4

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