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Question
Evaluate the following : `int (1)/sqrt(x^2 + 8x - 20).dx`
Solution
`int (1)/sqrt(x^2 + 8x - 20).dx`
= `int (1)/(sqrt((x^2 + 8x + 16) - 16 - 20)).dx`
= `int (1)/(sqrt((x + 4)^2 - 36)).dx`
= `int (1)/(sqrt((x + 4)^2 - (6)^2)).dx`
= `log|(x + 4) + sqrt((x + 4)^2 - (6)^2)| + c`
= `log|(x + 4) + sqrt(x^2 + 8x - 20)| + c`.
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