Compute . Present your result as and state the numerical values of and…

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Compute ∫x4−2x3+x2−7x+10x2−x−6 dx\displaystyle \int \frac{x^{4}-2x^{3}+x^{2}-7x+10}{x^{2}-x-6}\,dx. Present your result as P(x)+Aln⁡∣x−3∣+Bln⁡∣x+2∣P(x)+A\ln|x-3|+B\ln|x+2| and state the numerical values of AA and BB.

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