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Example 2 - Chapter 7 Class 12 Integrals - Part 3

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Transcript

Example 2 Find the following integrals: (ii) βˆ«β–’(π‘₯^(2/3)+1) 𝑑π‘₯ ∫1β–’(π‘₯^(2/3)+1) 𝑑π‘₯ =∫1β–’(π‘₯^(2/3)+π‘₯^0 )𝑑π‘₯ =∫1β–’π‘₯^(2/3) 𝑑π‘₯+∫1β–’π‘₯^0 𝑑π‘₯ = π‘₯^(2/3 + 1)/(2/3 + 1)+ π‘₯^(0 + 1)/(0 + 1)+𝐢 = π‘₯^(5/3)/(5/3)+π‘₯+𝐢 = γ€–πŸ‘π’™γ€—^(πŸ“/πŸ‘)/πŸ“+𝒙+π‘ͺ ("As" ∫1β–’γ€–π‘₯^𝑛 𝑑π‘₯=π‘₯^(𝑛+1)/(𝑛+1)+𝐢〗)

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