Partial Fractions w/ long division first 4.S x4- 2x3 + x2 + 2x – 1 dx x2 – 2x + 1 long division b/c P(x)/Q(x) and P(x) is Larger.

Integral Calculus: Integration of Partial Fractions. Show the step-by-step solution. No shortcuts.

using partial fractions

Decompose 5x³ + 2x² a = b = 5 0 C = 9 d = -21 A = 1 B = 8 the following fraction using a long division: 38x - 21 x² - 9 15 Integrate term by term to find 5x³+2x² Use the partial fractions method on the resulting fraction to get: 5x³+2x² 38x - 21 A B = ax + b + x² - 9 ax+b+ 38x - 21 x² - 9 cx + d x² - 9 II I x - 3 where + x + 3 , where 5 2 x+8 ln(x-3) + Inx+3 +C