Example 8 (i) - Find the following integrals dx x2-16 - Chapter 7 Class 12 CBSE NCERT Math - Integration by specific formulaes - Formula 1

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  1. Chapter 7 Class 12 Integrals
  2. Concept wise

Transcript

Example 8 (i) Find the following integrals: (i) ∫ 𝑑π‘₯/(π‘₯^2 βˆ’ 16) ∫1▒𝑑π‘₯/(π‘₯^2 βˆ’16) = ∫1▒𝑑π‘₯/(π‘₯^2 βˆ’γ€– 4γ€—^2 ) 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 =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

Chapter 7 Class 12 Integrals
Concept wise

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