Find an antiderivative of in which all logarithmic terms are combined into a single…

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Find an antiderivative of 5x3+2x2−x+8x2+4x+3\displaystyle \frac{5x^{3}+2x^{2}-x+8}{x^{2}+4x+3} in which all logarithmic terms are combined into a single natural logarithm. Then list any xx-values that must be excluded from the domain of your antiderivative.

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