CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Find ∫x3+2x2+1(x−1)2 dx\displaystyle \int \frac{x^{3}+2x^{2}+1}{(x-1)^{2}}\,dx. (a) x22+4x−7ln⁡∣x−1∣−4x−1+C\dfrac{x^{2}}{2}+4x-7\ln|x-1|-\dfrac{4}{x-1}+C (b) x22+4x+4ln⁡∣x−1∣−7x−1+C\dfrac{x^{2}}{2}+4x+4\ln|x-1|-\dfrac{7}{x-1}+C (c) x22+4x+7ln⁡∣x−1∣−4x−1+C\dfrac{x^{2}}{2}+4x+7\ln|x-1|-\dfrac{4}{x-1}+C (d) x22+4x+7ln⁡∣x−1∣+4x−1+C\dfrac{x^{2}}{2}+4x+7\ln|x-1|+\dfrac{4}{x-1}+C

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