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int ( x + 2)/( sqrt( x^(2) - 1)) dx i...

`int ( x + 2)/( sqrt( x^(2) - 1)) dx ` is

A

`sqrt(x^(2) )- 1 - 2 log| x + sqrt(x^(2) -1)| + c `

B

`sin^(-1) x - 2 log | x + sqrt(x^(2) - 1| + c `

C

`2 log | x + sqrt(x^(2) - 1)| - sin^(-1) x + c `

D

`sqrt(x^(2) -1) + 2 log| x + sqrt(x^(2) -1)| + c `

Text Solution

Verified by Experts

The correct Answer is:
` sqrt(x^(2) -1) + 2 log | x + sqrt(x^(2) - 1) | + c `
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SURA PUBLICATION-SURAS MODAL QUESTION PAPER-1 MATHEMATICS -Section-IV
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  16. Find the derivative with tan^(-1) ((sinx )/(1 + cos x)) with respect t...

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  19. A firm manufactures PVC pipes in three plants viz, X ,Y and Z . The de...

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  20. Evaluate int (x^(2) + 5x + 3)/(x^(2) + 3x + 2) dx

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  21. Solve: sqrt(x + 5) + sqrt(x + 21) = sqrt(6x + 40)

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