6. The following vector fields are conservative. Use this information to evaluate √ F. dr (a) F(x, y) = (4x³y² - 2xy³) i + (2x4y - 3x²y² + 4y³) j Cr(t)=(t+sin(t)) i + (2t+ cos(t))j, 0 ≤t≤1 (b) F(x, y, z) = e³i + (xe³ + e²) j + ye²k C is the line segment from (0, 2,0) to (4,0,3).

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