CBSE

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

Problem

Evaluate ∫2x+5(x−1)2(x+2) dx\displaystyle \int \frac{2x+5}{(x-1)^{2}(x+2)}\,dx. (a) 19ln⁡∣x−1∣−73(x−1)+19ln⁡∣x+2∣+C\dfrac19\ln|x-1|-\dfrac{7}{3(x-1)}+\dfrac19\ln|x+2|+C (b) −19ln⁡∣x−1∣−73(x−1)+19ln⁡∣x+2∣+C-\dfrac19\ln|x-1|-\dfrac{7}{3(x-1)}+\dfrac19\ln|x+2|+C (c) 73ln⁡∣x−1∣−13ln⁡∣x+2∣+C\dfrac{7}{3}\ln|x-1|-\dfrac13\ln|x+2|+C (d) −19ln⁡∣x−1∣+73(x−1)+19ln⁡∣x+2∣+C-\dfrac19\ln|x-1|+\dfrac{7}{3(x-1)}+\dfrac19\ln|x+2|+C

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