Answer this 1 to 11 question with formate.

Q Search Problem 1 (4 pts): Evaluate the integral. 5x -4x +3x-2 dx x2 +1 Problem 2 (4 pts): Evaluate the integral by using the Integration by Parts method: St2 estz dt Problem 3 (4 pts): Integrate the following integral: fsin5(x) cos8(x) dx . Problem 4 (4 pts): Integrate the following using the Trigonometric Substitution method: Problem 5 (4 pts): Integrate the following integral using the Partial Fraction Decomposition method: "x2 + 12x -4 dx x3 -4x Problem 6: a) (4 pts) Approximate the following integral using the Trapezoidal Rule with 8 equal width subintervals. Give your answer rounded to 5 decimal places. o'sin(x) dx b) (2 pts) The actual value of the integral in part (a), when rounded to five decimal places, is 2.39628. Find the percent error of your answer in part (a)