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Evaluate the following : ∫111-4x2.dx

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Question

Evaluate the following : `int (1)/sqrt(11 - 4x^2).dx`

Sum
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Solution

`int (1)/sqrt(11 - 4x^2).dx`

= `int (1)/sqrt((sqrt(11))^2 - (2x)^2).dx`

= `(1)/(2) sin^-1 (2x/sqrt(11)) + c`.

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

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