\int {x}/{ (1-x^2) \sqrt{2-x^2}} \dx= [AP EAPCET 21 May 2025 S2]

Correct Answer is : 12log|1+√2−x21−√2−x2|+c

\log {| {\sqrt{2-x^2}+1}/{\sqrt{2-x^2}-1} |}+c

\frac{1}{2} \log {| {\sqrt{2-x^2}}/{1-x^2} |}+c

\frac{1}{2} \log {| {1+\sqrt{2-x^2}}/{1-\sqrt{2-x^2}} |}+c

\log {| {1- {\x}^2}/\sqrt{2- {\x}^2}} |}+ {\c}

Indefinite Integration

Section: Mathematics

Question : 35 of 89

Marks: +1, -0

∫‌

(1−x2)√2−x2

‌dx=

[AP EAPCET 21 May 2025 S2]

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