(Solved): If the integrand is a rational function in which the degree of the numerator is greater than or equ ...

If the integrand is a rational function in which the degree of the numerator is greater than or equal to the degree of the denominator, it is offen heipful to re-write the integrand using long division. Suppose we want to evaluate the indefinite integral $?\frac{x^3+8x^2+16x+19}{x^2+2x+3}dx$ Part 1. Re-wrif the integral above using long division on the integrand. $?\frac{x^3+8x^2+16x+19}{x^2+2x+3}dx=?$ Part 2. Evaluate the onginal integral by evaluating the integral you found in Part 1, above. $?\frac{x^3+8x^2+16x+19}{x^2+2x+3}dx=$