Ex 7.3, 18 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by Teachoo

Ex 7.3, 18 - Integrate cos 2x + 2 sin2 x / cos2 x dx - Ex 7.3

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Transcript

Ex 7.3, 18 Integrate the function (cos⁡2𝑥 + 2 sin^2⁡𝑥)/cos^2⁡𝑥 𝑑𝑥 ∫1▒(cos⁡2𝑥 + 2 sin^2⁡𝑥)/cos^2⁡𝑥 𝑑𝑥 =∫1▒(𝟏 − 𝟐 〖𝒔𝒊𝒏〗^𝟐⁡𝒙 + 2 sin^2⁡𝑥)/cos^2⁡𝑥 𝑑𝑥 =∫1▒1/cos^2⁡𝑥 𝑑𝑥 =∫1▒sec^2⁡𝑥 𝑑𝑥 =𝐭𝐚𝐧⁡𝒙+𝑪 (cos⁡2𝑥=1−2 sin^2⁡𝑥)

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