Problem 7. (1 point) Problem 10. (1 point) Make a substitution to express the integrand as a rational function Write out the form of the partial fraction decomposition of the and then evaluate the integral. function appearing in the integral: COsx dx = 6 sin x + 7 sinx -12x - 159 x2 + 9x -36" Answer(s) submitted: Determine the numerical values of the coefficients, A and B, where (incorrect) A B and -12x - 159 B Problem 8. (1 point) x2 + 9x -36 denominator denominator Evaluate the integral. -40ex - 96 A = B= 2x + 8et + 12 dx Answer(s) submitted: Answer = +C Answer(s) submitted: (incorrect) (incorrect) Problem 11. (1 point) Problem 9. (1 point) The form of the partial fraction decomposition of a rational func- Write out the form of the partial fraction decomposition of the tion is given below. function: 5x -2x2 - 23 A Bx + C 0 = 1 3 1 + 4x+ 4 4x 10x (x- 1)(x2 +9) x- 1 x2 +9 A = _ B = Determine the numerical values of the coefficients, A and B, where B