Вычислить определённый интеграл:
[tex]\int\limits^3_0 {(\frac{1}{3}x^{3} -x^{2} + 2x-3)} \, dx[/tex]
∫₀³(1/3 x³-x²+2x-3) dx=(1/3 * x⁴/4-x³/3+x²-3x)|₀³=(x⁴/12-x³/3+x²-3x)|₀³=81/12-27/3+9-9=27/4-9=
=(27-36)/4= -9/4= -2,25
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∫₀³(1/3 x³-x²+2x-3) dx=(1/3 * x⁴/4-x³/3+x²-3x)|₀³=(x⁴/12-x³/3+x²-3x)|₀³=81/12-27/3+9-9=27/4-9=
=(27-36)/4= -9/4= -2,25