Ex 7.1, 18 - Chapter 7 Class 12 Integrals

Last updated at April 16, 2024 by

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

Transcript

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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