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Ex 7.1, 7 - Integrate x2 (1 - 1/x2) dx - Class 12 - Using Formulaes

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Ex 7.1, 7 - Chapter 7 Class 12 Integrals - NCERT Solution Integrate ∫1β–’γ€–π‘₯^2 (1βˆ’ 1/π‘₯^2 ) γ€— 𝑑π‘₯ ∫1β–’γ€–π‘₯^2 (1βˆ’ 1/π‘₯^2 ) γ€— 𝑑π‘₯ =∫1β–’(π‘₯^2βˆ’ π‘₯^2/π‘₯^2 ) 𝑑π‘₯ =∫1β–’(π‘₯^2βˆ’1) 𝑑π‘₯ =∫1β–’(π‘₯^2βˆ’π‘₯^0 ) 𝑑π‘₯ =∫1β–’π‘₯^2 𝑑π‘₯βˆ’βˆ«1β–’π‘₯^0 𝑑π‘₯ =π‘₯^(2 + 1)/(2 + 1) βˆ’π‘₯^(0 + 1)/(0 + 1)+𝐢 ("As" ∫1β–’γ€–π‘₯^𝑛 𝑑π‘₯=π‘₯^(𝑛+1)/(𝑛+1)+𝐢〗) =π‘₯^3/3 βˆ’π‘₯^1/1+𝐢 =𝒙^πŸ‘/πŸ‘ βˆ’ 𝒙+π‘ͺ

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