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Question-218672




Question Number 218672 by Spillover last updated on 14/Apr/25
Answered by Nicholas666 last updated on 14/Apr/25
∫_(−2) ^2 max(x,x^2 ,x^3 )dx=  ∫_(−2) ^(−1) x^2 dx + ∫_(−1) ^0 x^2 dx +∫_0 ^1 xdx +∫_1 ^2 x^3 dx=((83)/(12))
$$\int_{−\mathrm{2}} ^{\mathrm{2}} {max}\left({x},{x}^{\mathrm{2}} ,{x}^{\mathrm{3}} \right){dx}= \\ $$$$\int_{−\mathrm{2}} ^{−\mathrm{1}} {x}^{\mathrm{2}} {dx}\:+\:\int_{−\mathrm{1}} ^{\mathrm{0}} {x}^{\mathrm{2}} {dx}\:+\int_{\mathrm{0}} ^{\mathrm{1}} {xdx}\:+\int_{\mathrm{1}} ^{\mathrm{2}} {x}^{\mathrm{3}} {dx}=\frac{\mathrm{83}}{\mathrm{12}} \\ $$
Answered by Spillover last updated on 14/Apr/25

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