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Question
`int ("d"x)/(4x^2 + 11)` = ______.
Options
`1/2 tan^-1 ((2x)/sqrt(11)) + "c"`
`1/(2sqrt(11)) tan^-1 ((2x)/sqrt(11)) + "c"`
`1/(3sqrt(11)) tan^-1 ((2x)/sqrt(11)) + "c"`
`1/(4sqrt(11)) tan^-1 ((2x)/sqrt(11)) + "c"`
MCQ
Fill in the Blanks
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Solution
`int ("d"x)/(4x^2 + 11)` = `1/(2sqrt(11)) tan^-1 ((2x)/sqrt(11)) + "c"`.
Explanation:
`int ("d"x)/(4x^2 + 11) = int ("d"x)/((2x)^2 + (sqrt(11))^2`
= `1/(2sqrt(11)) tan^-1 ((2x)/sqrt(11)) + "c"`
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Some Special Integrals
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