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Ex 7.2

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Chapter 7 Class 12 Integrals

Serial order wise

Last updated at Dec. 20, 2019 by Teachoo

Ex 7.2, 26 Integrate the function cosβ‘βπ₯/βπ₯ Let βπ₯=π‘ Differentiating both sides π€.π.π‘.π₯ (1/2) π₯^(1/2 β 1)= ππ‘/ππ₯ 1/2. π₯^(β 1/2)= ππ‘/ππ₯ 1/(2βπ₯) = ππ‘/ππ₯ ππ₯ =2βπ₯ . ππ‘ ππ₯ =2π‘ . ππ‘ Integrating the function β«1βγ" " cosβ‘βπ₯/βπ₯ " " γ. ππ₯ Putting βπ₯=π‘ & ππ₯=2π‘ . ππ‘ = β«1βγ" " cosβ‘π‘/π‘γ. 2π‘ . ππ‘ = β«1βγ" " 2 cosβ‘π‘ γ. ππ‘ = 2β«1βcosβ‘π‘ . ππ‘ = 2 sinβ‘π‘+πΆ = π πππβ‘βπ+πͺ (ππ πππ π‘=βπ₯)