\int {x}/{\sqrt{x^2-2 x+5}} \dx= [AP EAPCET 24 May 2025 S1]

Correct Answer is : √x2−2x+5+Sinh−1(x−12)+c

\sqrt{x^2-2 x+5}+{\Sinh}^{-1} (\frac{x-1}{2}) +c

\frac{1}{2} \sqrt{x^2-2 x+5}+{\Sin}^{-1} (\frac{x-1}{2}) +c

2 \sqrt{x^2-2 x+5}+{\Cosh}^{-1} (\frac{x-1}{2}) +c

\sqrt{x^2-2 x+5}-{\Cos}^{-1} (\frac{x-1}{2}) +c

Indefinite Integration

Section: Mathematics

Question : 11 of 89

Marks: +1, -0

∫‌

√x2−2x+5

‌dx=

[AP EAPCET 24 May 2025 S1]

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