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TS EAMCET · Maths · Indefinite Integration

\(\int \frac{d x}{(1+x) \sqrt{8+7 x-x^2}}=\)

  1. A \(-\frac{2}{9} \sqrt{\frac{8-x}{1+x}}+c\)
  2. B \(-\frac{1}{9} \sqrt{\frac{1+x}{8-x}}+c\)
  3. C \(-\frac{2}{9} \sqrt{\frac{1+x}{8-x}}+c\)
  4. D \(\frac{2}{9} \sqrt{\frac{8+x}{1+x}}+c\)
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Answer & Solution

Correct Answer

(A) \(-\frac{2}{9} \sqrt{\frac{8-x}{1+x}}+c\)

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