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

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Ex 7.1, 18 Find anti derivative of ∫1β–’γ€–sec⁑π‘₯ (sec⁑〖π‘₯+tan⁑π‘₯ γ€—)γ€—dx ∫1▒〖𝑠𝑒𝑐⁑π‘₯ (𝑠𝑒𝑐⁑〖π‘₯+π‘‘π‘Žπ‘›β‘π‘₯ γ€—)γ€— 𝑑π‘₯ =∫1β–’γ€– (〖𝑠𝑒𝑐〗^2⁑〖π‘₯+〖𝑠𝑒𝑐 π‘₯ π‘‘π‘Žπ‘›γ€—β‘π‘₯ γ€—)γ€— 𝑑π‘₯ =∫1▒〖〖𝑠𝑒𝑐〗^2 π‘₯ 𝑑π‘₯+ γ€— ∫1β–’(𝑠𝑒𝑐 π‘₯ π‘‘π‘Žπ‘›β‘π‘₯ ) 𝑑π‘₯ =𝒕𝒂𝒏⁑𝒙+𝒔𝒆𝒄⁑𝒙+π‘ͺ As ∫1β–’γ€–sec^2⁑π‘₯ 𝑑π‘₯=tan⁑π‘₯ γ€—+𝐢 & ∫1β–’sec⁑π‘₯⁑tan⁑π‘₯ 𝑑π‘₯=sec⁑π‘₯+𝐢

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.