Part II. PROBLEM SOLVING. Instructions: 1. Solve or evaluate each of the following integrals using the guides given. Write your answers in clean sheets of papers. 2. Show your solutions in a LOGICAL and CLEAR order. NO SHORTCUT SOLUTIONS. 3. 20 points for each correct solution; 10 points minor errors; 0 points for incorrect and shortcut solutions. 1. Use integration by partial fractions (and trigonometric substitution) to evaluate the following integral: x3 +1 x(x2 + x+ 1)2 dx 2. Use integration by algebraic substitution (and trigonometric substitution) to evaluate the following integral: x2 dx x5 + 1