Ex 7.1, 18 - Chapter 7 Class 12 Integrals
Last updated at Dec. 16, 2024 by Teachoo
Using Trignometric Formulaes
Last updated at Dec. 16, 2024 by Teachoo
Transcript
Ex 7.1, 18 Find anti derivative of β«1βγsecβ‘π₯ (secβ‘γπ₯+tanβ‘π₯ γ)γdx β«1βγπ ππβ‘π₯ (π ππβ‘γπ₯+π‘ππβ‘π₯ γ)γ ππ₯ =β«1βγ (γπ ππγ^2β‘γπ₯+γπ ππ π₯ π‘ππγβ‘π₯ γ)γ ππ₯ =β«1βγγπ ππγ^2 π₯ ππ₯+ γ β«1β(π ππ π₯ π‘ππβ‘π₯ ) ππ₯ =πππβ‘π+πππβ‘π+πͺ As β«1βγsec^2β‘π₯ ππ₯=tanβ‘π₯ γ+πΆ & β«1βsecβ‘π₯β‘tanβ‘π₯ ππ₯=secβ‘π₯+πΆ