Ex 7.6, 24 - Integrate ex sec x (1 + tan x) dx - Ex 7.6

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.6, 24 ﷮﷮ 𝑒﷮𝑥﷯﷯ sec﷮𝑥﷯ 1+ tan﷮𝑥﷯﷯𝑑𝑥 • ex cos x + C (B) ex sec x + C (C) ex sin x + C (D) 𝑒𝑥 tan x + C ﷮﷮ 𝑒﷮𝑥﷯﷯ sec﷮𝑥﷯ 1+ tan﷮𝑥﷯﷯𝑑𝑥 = ﷮﷮ 𝑒﷮𝑥﷯﷯ sec﷮𝑥﷯+ sec﷮𝑥﷯ tan﷮𝑥﷯﷯𝑑𝑥 Putting, 𝑓 𝑥﷯= sec﷮𝑥﷯ , 𝑓﷮′﷯ 𝑥﷯= sec﷮𝑥﷯ tan﷮𝑥﷯ ﷮﷮𝑒𝑥 sec﷮𝑥﷯+ sec﷮𝑥﷯ tan﷮𝑥﷯﷯﷯𝑑𝑥 = 𝑒﷮𝑥﷯ sec﷮𝑥﷯+𝐶 ∴ Option (B) is correct.

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