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Evaluate the following : ∫12x2-5.dx

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Question

Evaluate the following : `int (1)/sqrt(2x^2 - 5).dx`

Sum
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Solution

`int (1)/sqrt(2x^2 - 5).dx`

=  `(1)/sqrt(2) int (1)/sqrt(x^2 - 5/2).dx`

= `(1)/sqrt(2) int (1)/sqrt(x^2 - (sqrt(5/2))^2).dx`

= `(1)/sqrt(2) log|x + sqrt(x^2 - 5/2)| + c`.

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Chapter 3: Indefinite Integration - Exercise 3.2 (B) [Page 123]

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