Question 5: Evaluate the definite integral: L(3x (3x-2x+1)dx Question 6: Use integration by parts to evaluate the integral: Sr cos(r) dr Question 7: Decompose the rational function into partial fractions: x+3x+5 x-4x+4 Question 8: Determine the convergence or divergence of the improper in- tegral: dx Question 9: Solve the differential equation: dy +2y= e dx Question 10: Find the Maclaurin series expansion for f(x)=sin(x).