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![Ex 7.4, 2 - Chapter 7 Class 12 Integrals - Part 3](https://d1avenlh0i1xmr.cloudfront.net/63f5d12e-700e-4c7e-b75b-9ba920d03607/slide5.jpg)
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![Ex 7.4, 2 - Chapter 7 Class 12 Integrals - Part 5](https://d1avenlh0i1xmr.cloudfront.net/c8cde91c-e8a3-415f-8473-098e8a2705f4/slide7.jpg)
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Ex 7.4
Last updated at April 16, 2024 by Teachoo
Ex 7.4, 2(Method 1) 1/√(1 + 4𝑥^2 ) ∫1▒1/√(1 + 4𝑥^2 ) 𝑑𝑥 =∫1▒1/√(4 (1/4 + 𝑥^2 ) ) . 𝑑𝑥 =∫1▒1/(√4 √(1/4 + 𝑥^2 )) . 𝑑𝑥 =1/2 ∫1▒1/√(𝑥^2 + 1/4) . 𝑑𝑥 =1/2 log|𝑥+√(4𝑥^2 + 1)/2|+𝐶 =1/2 log|(2𝑥 + √(4𝑥^2 + 1))/2|+𝐶 =1/2 [log|2𝑥 + √(1+4𝑥^2 ) |−log2 ]+𝐶 =1/2 log|2𝑥 + √(1+4𝑥^2 ) |−1/2 log2+𝐶 =𝟏/𝟐 𝒍𝒐𝒈|𝟐𝒙 + √(𝟏+𝟒𝒙^𝟐 ) |+𝑪