Write out the form of the partial fraction decomposition of the function appearing in the integral:



3x141x2+2x35,dx\displaystyle \int{\frac{{-{3}{x}-{141}}}{{{x}^{{2}}+{2}{x}-{35}}}},{\left.{d}{x}\right.}



Determine the numerical values of the coefficients, A and B, where A \displaystyle \leq B.



Adenominator+Bdenominator\displaystyle {\frac{{{A}}}{{\text{denominator}}}}+{\frac{{{B}}}{{\text{denominator}}}}



A =   B =