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Question Number 83597 by dennis kenneth last updated on 04/Mar/20

∫_0 ^2 (3x^2 −4x+2)dx

$$\int_{\mathrm{0}} ^{\mathrm{2}} \left(\mathrm{3}{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{2}\right){dx} \\ $$

Commented by Jidda28 last updated on 04/Mar/20

=  x^3 −2x^2 +2x]_0 ^2   =(8−8+4)−0  4

$$\left.=\:\:{x}^{\mathrm{3}} −\mathrm{2}{x}^{\mathrm{2}} +\mathrm{2}{x}\right]_{\mathrm{0}} ^{\mathrm{2}} \\ $$$$=\left(\mathrm{8}−\mathrm{8}+\mathrm{4}\right)−\mathrm{0} \\ $$$$\mathrm{4} \\ $$

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