∫ {dx}/{x+\sqrt{x-1} =

Correct Answer is : loge|x+√x−1| - 2√3tan−1(2√x−1+1√3) + c

\log_e |x+\sqrt{x-1}| - 1/\sqrt3tan^{-1}({2\sqrt{x-1}+1}/\sqrt3) + c

1/\sqrt3 \log_e |x+\sqrt{x-1}| - \tan^{-1}({2\sqrt{x-1}+1}/\sqrt3) + c

2/\sqrt3 \log_e |x+\sqrt{x-1}| - \tan^{-1}({2\sqrt{x-1}+1}/\sqrt3) + c

\log_e |x+\sqrt{x-1}| - 2/\sqrt3tan^{-1}({2\sqrt{x-1}+1}/\sqrt3) + c

AP EAMCET Engineering 20 Apr 2019 Shift 1 Paper

Section: Mathematics

Question : 75 of 160

Marks: +1, -0

∫

x+√x−1

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