Evaluate the following : ∫111-4x2.dx - Mathematics and Statistics

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Sum

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

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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]

APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 3 Indefinite Integration
Exercise 3.2 (B) | Q 1.05 | Page 123

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