How can I get the area of this implicite curve from -1 to 0 and from 1 to 2?
in this special case, you can change your equation x⁴ - 2x³ - x² + 2x + y² = 0 to f(x)= (-x⁴ + 2x³ + x² - 2x)^0.5 and g(x) = -(-x⁴ + 2x³ + x² - 2x)^0.5 and use the integral-command:
Integral(f(x),-1,0) = -Integral(g(x),-1,0)
Integral(f(x), 1,2) = -Integral(g(x), 1,2)
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