1.

If alpha gt 1 , then int (dx)/(x^(2) + 2 alpha x + 1) =

Answer»

`(1)/(sqrt(1 -ALPHA^(2))) TAN^(-1) ((x + alpha)/(sqrt(1 -alpha^(2))) ) +c`
`(1)/(sqrt(1- alpha^(2))) cot^(-1) ((x + alpha)/(sqrt(1- alpha^(2))) ) + ` c
`(1)/(2sqrt(alpha^(2) -1)) LOG ((x + alpha - sqrt(alpha^(2) -1))/(x + alpha + sqrt(alpha^(2) -1) ) ) + c`
`(1)/(2 sqrt(alpha^(2) -1)) log ((x + alpha + sqrt(alpha^(2) -1))/(x + alpha - sqrt(alpha^(2) -1)) ) + ` c

Answer :C


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