\int {d x}/{(x-1) \sqrt{x+2}}=

Correct Answer is : 1√3log|√(x+2)−√3√(x+2)+√3|+c

{2}/{\sqrt{3}} \log {| {\sqrt{(x+2)}+\sqrt{3}}/{\sqrt{(x+2)}-\sqrt{3}} |}+c

{-1}/{\sqrt{3}} \log {| {\sqrt{(x+2)}-\sqrt{3}}/{\sqrt{(x+2)}+\sqrt{3}} |}+c

{1}/{\sqrt{3}} \log {| {\sqrt{(x+2)}+\sqrt{3}}/{\sqrt{(x+2)}-\sqrt{3}} |}+c

{1}/{\sqrt{3}} \log {| {\sqrt{(x+2)}-\sqrt{3}}/{\sqrt{(x+2)}+\sqrt{3}} |}+c

AP EAPCET 19th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 71 of 160

Marks: +1, -0

∫‌

(x−1)√x+2

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