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Question
Evaluate the following : `int (1)/(4x^2 - 3).dx`
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Solution
I = `int (1)/(4x^2 - 3).dx`
= `(1)/(4) int (1)/(x^2 - 3/4).dx`
= `(1)/(4) int (1)/(x^2 - (sqrt(3)/2)^2).dx`
= `(1)/(4) (1)/(2(sqrt(3)/2))log|(x - sqrt(3)/(2))/(x + sqrt(3)/(2))| + c`
= `(1)/(4sqrt(3)) log |(2x - sqrt(3))/(2x + sqrt(3))| + c`.
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