Problem 12. (1 point) Problem 14. (1 point) Consider the following indefinite integral. Split into partial fractions: 40 ( 6x + 2x2 -47x-9 - dx 16-x2- x2 - 9 Answer(s) submitted: (incorrect) The integrand decomposes into the form: axtb+ - C d x-3 Compute the coefficients: a = 2 Problem 15. (1 point) Which of the following is the correct form of the partial fraction decomposition of x-1 Now integrate term by term to evaluate the integral. x3 + x2 ! Answer: -+ C Answer(s) submitted: . A. AX +B Cx+D E x+1 . B. A B . C. A ArtB CX+D Ex + F . D. ArtB CX + D Ex+'F (incorrect) x2 x+1 Problem 13. (1 point) What is the correct form of the partial fraction decomposition for Answer(s) submitted: he following integral? * 2 + 1 (incorrect) 1 ( x - 4 ) 3 ( 92 + 8x + 41 ) dx BX +C Dx +E Fx +G x - 4 ( x - 4 ) 2 + (x -4)3 +x2 +8x+41 ) dx . B. / (x - 4)3 + B C DX + E Problem 16. (1 point) x - 8 ( x - 8)2+; x2 + 1 dx . C. There is no partial fraction decomposition yet because Which of the following is the correct form of the partial fraction long division must be done first. x- 1. . D. There is no partial fraction decomposition yet because decomposition of x3 +x there is cancellation. . E. There is no partial fraction decomposition because the . A. Ax +B Cx+D denominator does not factor. x2 + 1 . F. ) (x - 4)3 + x Bx + C Ax+ B x2 +8x +41) . B. x2 + 1 B C A B . G. ) (x - 4)3 + X x-8 x-41) dx C. x 2 + 1 B C A Bx + C Dx + E . D. . H. (x - 4+ ( x -4)2 + ( x- 4)3 7 x2 + 8x+ 41) dx x2 + 1 Answer(s) submitted: Answer(s) submitted: (incorrect) (incorrect)