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Example 8 - Find integrals (i) dx / x2 - 16 - Chapter 7 - Examples



Example 8 Find the following integrals: (i) ∫1▒𝑑π‘₯/(π‘₯^2 βˆ’16) ∫1▒𝑑π‘₯/(π‘₯^2 βˆ’16) = ∫1▒𝑑π‘₯/(π‘₯^2 βˆ’γ€– 4γ€—^2 ) =1/(2 Γ— 4) π‘™π‘œπ‘”|(π‘₯ βˆ’ 4)/(π‘₯ + 4)|+𝐢 =𝟏/πŸ– π’π’π’ˆ|(𝒙 βˆ’ πŸ’)/(𝒙 + πŸ’)|+π‘ͺ Using ∫1▒〖𝑑π‘₯/(π‘₯^2 βˆ’ π‘Ž^2 )=1/2π‘Ž π‘™π‘œπ‘”|(π‘₯ βˆ’ π‘Ž)/(π‘₯ + π‘Ž)|+𝐢〗 Replacing π‘Ž=4

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.