Video Example () EXAMPLE 1 Find 7 x5 + 2x dx . x - 1 SOLUTION Since the degree of the numerator is greater than the degree of the denominator, we first perform the long division. This enables us to write the following. (Remember to use absolute values where appropriate.) 9 7 x3 + 2X dx = + 7x + 9 + dx x - 1 = 23x + 9 In|x - 1/ + 2 (x -1)3 + 21 (x-1)2 -23 + C Need Help? Read It Submit Answer 6. [0/2 Points] DETAILS PREVIOUS ANSWERS SCALCET8 7.4.516.XP. MY NOTES PRACTICE ANOTHER Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) x2 + 5x + 4 64 x - 5 - + 3 (x + 1 ) 3( x+ 4) X 3x + 1 (b) ( x + 1 ) ( x2 + 6) 2 3x + 1 x + 3x + 15x+ 37x*+72x"+ 120x2+ 108x+36