Evaluating Indefinite Integrals - Partial Fraction Decomposition Suppose we want to evaluate the following indefinite integral ∫(x+8)2(7x−10)32x2+32x−1000dx Part 1. Use the method of partial fraction decomposition to re-write the integrand as the sum of simpler rational functions that can be easily antidifferentiated. ∫(x+8)2(7x−10)32x2+32x−1000dx=∫ Part 2. Evaluate the given indefinite integral by evaluating the integral you found in Part 1, above. ∫(x+8)2(7x−10)32x2+32x−1000dx