Let be a real number

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Let pp be a real number. Determine an antiderivative of ∫x3+(p−1)x2+(p+2)x+3x2+2x+3 dx\displaystyle \int \frac{x^{3}+(p-1)x^{2}+(p+2)x+3}{x^{2}+2x+3}\,dx in terms of pp.

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