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10 questions from this quiz
Ax−a+Bx−b\frac{A}{x-a} + \frac{B}{x-b}x−aA+x−bB
Ax−a+B(x−a)2\frac{A}{x-a} + \frac{B}{(x-a)^2}x−aA+(x−a)2B
Ax+Bax2+bx+c\frac{Ax+B}{ax^2+bx+c}ax2+bx+cAx+B
Decompose the fraction
Equate numerators or substitute values
ln∣x∣+C\ln|x| + Cln∣x∣+C
12ln(x2+a2)+C\frac{1}{2} \ln(x^2+a^2) + C21ln(x2+a2)+C
Denominator is properly factored
Constant of integration +C+C+C
1aarctan(xa)+C\frac{1}{a} \arctan(\frac{x}{a}) + Ca1arctan(ax)+C
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