Ex 7.1, 18 - Chapter 7 Class 12 Integrals

Last updated at April 16, 2024 by Teachoo

Ex 7.1, 18 - Integrate sec x (sec x + tan x) dx - Class 12

Transcript

Ex 7.1, 18 Find anti derivative of ∫1▒〖sec⁡𝑥 (sec⁡〖𝑥+tan⁡𝑥 〗)〗dx ∫1▒〖𝑠𝑒𝑐⁡𝑥 (𝑠𝑒𝑐⁡〖𝑥+𝑡𝑎𝑛⁡𝑥 〗)〗 𝑑𝑥 =∫1▒〖 (〖𝑠𝑒𝑐〗^2⁡〖𝑥+〖𝑠𝑒𝑐 𝑥 𝑡𝑎𝑛〗⁡𝑥 〗)〗 𝑑𝑥 =∫1▒〖〖𝑠𝑒𝑐〗^2 𝑥 𝑑𝑥+ 〗 ∫1▒(𝑠𝑒𝑐 𝑥 𝑡𝑎𝑛⁡𝑥 ) 𝑑𝑥 =𝒕𝒂𝒏⁡𝒙+𝒔𝒆𝒄⁡𝒙+𝑪 As ∫1▒〖sec^2⁡𝑥 𝑑𝑥=tan⁡𝑥 〗+𝐶 & ∫1▒sec⁡𝑥⁡tan⁡𝑥 𝑑𝑥=sec⁡𝑥+𝐶

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