If \int \frac{1}{x [(\log x)^2+4 \log x-1] } \dx=A \log [\frac{\log x+B}{\log x+C}] +K where K is the constant of integration, then

Correct Answer is : A=12√5,B=(2−√5),C=(2+√5)

{\A}= {1}/{2 \sqrt{5}}, {\B}=(2-\sqrt{5}), {\C}=(2+\sqrt{5})

{\A}=- {1}/{2 \sqrt{5}}, {\B}=(2-\sqrt{5}), {\C}=(2+\sqrt{5})

{\A}= {1}/{2 \sqrt{5}}, {\B}=(2+\sqrt{5}), {\C}=(2-\sqrt{5})

A=- {1}/{2 \sqrt{5}}, B=(2+\sqrt{5}), C=(2-\sqrt{5})

AP EAPCET 15th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 73 of 160

Marks: +1, -0

If ∫‌

x[(log‌x)2+4‌log‌x−1]

‌dx=A‌log[‌

log‌x+B

log‌x+C

]+K where K is the constant of integration, then

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