MATH 2414 Lecture 3: MATH 2414 Lecture 3
5 Oct 2018
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7. 4 integration of rational functions by partial fractions. Given integral of fn dx where n d are polynomials if the degree of n is greaterthan or equal to the degreeofd use long division toget jne dx sqw t f f dx dx 5 7 2 dx. D x with no repeated factors then you can expand as follows. 4 dx multiply by denom coefficients of equal same on both sidesmustbe for constants. S t ln 1 31 ln cx13cx 4 z zdx gx42 dx x 2 43 2 g x22. 12137 1 21 tocancel out x multiplybothsides wldenon. Atx12 2 1 1 b xxx12 t cx 2 1 whatvals of. X o 2 12 x12 0 2 1 0 canplug in wherex o. Len 1 1 of en12 11 of ln 1 21 c. 2 to d case 2 if d has factor of form caxtb r then the expansion will have aab chitabpt taffy.
