Answer Happy

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 often helpful to re-write the integrand using long division. Suppose we want to evaluate the indefinite integral ∫x2+2x+8x3+13x2+31x+89​dx Part 1. Re-write the integral above using long division on the integrand. ∫x2+2x+8x3+13x2+31x+89​dx=∫ Part 2. Evaluate the original integral by evaluating the integral you found in Part 1. above. ∫x2+2x+8x3+13x2+31x+89​dx=