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integral of (x²+1) / [(x+3)(x-1)²] using partial fractions


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integral of (x² +1) / [(x+3)(x-1)²] using partial fractions
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first of all decompose into partial fractions and integrate term  by term
for (x-1)² you will require two terms of the form  A / (x-1)  + B /(x-1)²
to find A, B, C remember to multiply both sides with just [(x+3)(x-1)²]
before putting values for x or comparing coefficients

answer and  some steps are given below
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