Assignment:
Integration by partial fractions
Q1. Solve for: y: dy/dx = (1 - √3)x -4 / (x - √3)(x - 1)
Q2. Evaluate: y = ∫(1 +x2)-1/2 dx
Q3. Evaluate: y = ∫(1 / x√1 + x2)dx
Q4. Express the improper rational function as the sum of a polynomial and a proper rational function: 2x4 + 5x3 + 7x2 + 5x / 2x2 + 3x +4
Provide complete and step by step solution for the question and show calculations and use formulas.