(a) Decompose the expression x^ 4 -x^ 3 +2x^ 2 -3x+4 x^ 3 +x^ 2 -x-1 into a…
MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
(a) Decompose the expression
x3+x2−x−1x4−x3+2x2−3x+4
into a polynomial part and a proper rational part.
(b) Resolve the proper rational part into partial fractions.
(c) Using the results of (a) and (b), find
∫x3+x2−x−1x4−x3+2x2−3x+4dx.