Ответы на вопрос:
+1 ∫ -1 (5x²+6x-4)dx = +1 ∫ -1 5x²+6x-4 dx = ∫5x²+6x-4 dx = ∫5x²dx + ∫6xdx - ∫4dx = 5x³/3 + 3x² - 4x = (5x³/3 + 3x² - 4x) |+1 -1 = 5×1³/3 + 3×1² - 4×1 - (5×(-1)³/3 + 3×(-1)² - 4×(-1)) = 5×1/3 + 3×1 - 4 - (5×(-1)/3 + 3×1 - (-4)) = 5/3 + 3 - 4 - ( - 5/3 + 3 + 4) = 5/3 + 3 - 4 - ( - 5/3 + 7) = 5/3 + 3 - 4 - 16/3 = -11/3 + 3 - 4 = -11/3 - 1 = -14/3 = -4 2/3 ≈ -4,67
ответ: -14/3 = -4 2/3 ≈ -4,67
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