1. Chapter 7 Class 12 Integrals
  2. Serial order wise
  3. Ex 7.1
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Ex 7.1, 5 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by Teachoo

Transcript

Ex 7.1, 5 Find anti derivative of sin⁑2π‘₯ – 4𝑒3π‘₯ Subtracting (1) & (2) sin⁑2π‘₯βˆ’γ€–4𝑒〗^3π‘₯=(βˆ’1)/2 (cos⁑2π‘₯ )^β€²βˆ’ 4/3 (𝑒^3π‘₯ )^β€² We know that (cos⁑2π‘₯ )^β€²=βˆ’2 sin⁑2π‘₯ (βˆ’1)/2 (cos⁑2π‘₯ )^β€²=sin⁑2π‘₯ 𝐬𝐒𝐧 πŸπ’™=(βˆ’πŸ)/𝟐 (π’„π’π’”β‘πŸπ’™ )^β€² We know that (𝑒^3π‘₯ )^β€²=𝑒^3π‘₯ . 3 β‡’ γ€–1(𝑒^3π‘₯ )γ€—^β€²/3=𝑒^3π‘₯ ⇒𝑒^3π‘₯=γ€–1(𝑒^3π‘₯ )γ€—^β€²/3 β‡’γ€–πŸ’π’†γ€—^πŸ‘π’™=πŸ’/πŸ‘ (𝒆^πŸ‘π’™ )^β€² …(2) =(βˆ’1/2 cos⁑2π‘₯βˆ’4/3 𝑒^3π‘₯ )^β€² ∴ Anti derivative is (βˆ’πŸ)/𝟐 π’„π’π’”β‘πŸπ’™βˆ’ πŸ’/πŸ‘ 𝒆^πŸ‘π’™
  1. Chapter 7 Class 12 Integrals
  2. Serial order wise

    3. Ex 7.1

    Ex 7.2 →
Ex 7.2 →
Chapter 7 Class 12 Integrals
Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo