Question: If R(x) = ( ax + b) /(Ax^2 + Bx + C) and (Ax^2 + Bx + C) = ax + b, use u-sub and
- If R(x) = (ax + b)/(Ax^2 + Bx + C) and (Ax^2 + Bx + C)’ = ax + b, use u-sub and the natural logarithm, regardless of whether (Ax^2 + Bx + C) is irreducible!
- Likewise check to see if small changes in constants, like factoring out a constant from numerator or denominator, will yield this case…
- or adding and subtracting in a term d/(Ax^2 + Bx + C) so that b + d = B and this method can be applied, while the new term –d/(Ax^2 + Bx + C) can be handled by (c) – (f).
A worked examples of at least one case of the sort in (g) is:
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R x x 1 x 2 x 1 u x 2 x 1 du 2 x 1 ln u l n x 2 x 1 Since Q is ... View full answer
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