Ex 7.6, 24 (MCQ) - Chapter 7 Class 12 Integrals
Last updated at April 16, 2024 by Teachoo
Integration by parts - e^x integration
Integration by parts - e^x integration
Last updated at April 16, 2024 by Teachoo
Ex 7.6, 24 β«1βπ^π₯ secβ‘π₯ (1+tanβ‘π₯ )ππ₯ "ex" cos x + C (B) "ex" sec x + C (C) "ex" sin x + C (D) ππ₯ tan x + C β«1βπ^π₯ secβ‘π₯ (1+tanβ‘π₯ )ππ₯ = β«1βπ^π₯ (secβ‘π₯+secβ‘π₯ tanβ‘π₯ )ππ₯ It is of the form β«1βγπ^π₯ [π(π₯)+π^β² (π₯)] γ ππ₯=π^π₯ π(π₯)+πΆ Where π(π₯)=secβ‘π₯ π^β² (π₯)=secβ‘π₯ tanβ‘π₯ So, our equation becomes β«1βγππ₯ (secβ‘π₯+secβ‘π₯ tanβ‘π₯ ) γ ππ₯ = π^π₯ secβ‘π₯+πΆ β΄ Option (B) is correct.