Evaluate . Express your answer in the form , where is a…

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

Problem

Evaluate ∫x3+4x2+5x+3(x+1)(x+2) dx\displaystyle \int \frac{x^{3}+4x^{2}+5x+3}{(x+1)(x+2)}\,dx. Express your answer in the form P(x)+Aln⁡∣x+1∣+Bln⁡∣x+2∣P(x)+A\ln|x+1|+B\ln|x+2|, where P(x)P(x) is a polynomial.

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